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Finding the Fourth Proportional to 1,693.66, 2,337.27 and 947.69

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Solution

The fourth proportional to 1,693.66, 2,337.27 and 947.69 is: 1,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.66 : 2,337.27 = 947.69 : x
  2. Step 2: Convert to fraction form
    1,693.66/2,337.27 = 947.69/x
  3. Step 3: Cross multiply
    1,693.66x = 2,337.27 × 947.69
  4. Step 4: Simplify right side
    1,693.66x = 2,215,012.84
  5. Step 5: Solve for x
    x = 2,215,012.84/1,693.66
  6. Step 6: Final answer
    x = 1,307.83

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.