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Finding the Fourth Proportional to 1,693.62, 2,337.26 and 947.80

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Solution

The fourth proportional to 1,693.62, 2,337.26 and 947.80 is: 1,308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.62 : 2,337.26 = 947.80 : x
  2. Step 2: Convert to fraction form
    1,693.62/2,337.26 = 947.80/x
  3. Step 3: Cross multiply
    1,693.62x = 2,337.26 × 947.80
  4. Step 4: Simplify right side
    1,693.62x = 2,215,255.03
  5. Step 5: Solve for x
    x = 2,215,255.03/1,693.62
  6. Step 6: Final answer
    x = 1,308.00

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