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Finding the Fourth Proportional to 1,693.60, 2,337 and 947.44

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Solution

The fourth proportional to 1,693.60, 2,337 and 947.44 is: 1,307.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.60 : 2,337 = 947.44 : x
  2. Step 2: Convert to fraction form
    1,693.60/2,337 = 947.44/x
  3. Step 3: Cross multiply
    1,693.60x = 2,337 × 947.44
  4. Step 4: Simplify right side
    1,693.60x = 2,214,167.28
  5. Step 5: Solve for x
    x = 2,214,167.28/1,693.60
  6. Step 6: Final answer
    x = 1,307.37

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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.