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Finding the Fourth Proportional to 1,502.42, 2,073.71 and 913.34

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Solution

The fourth proportional to 1,502.42, 2,073.71 and 913.34 is: 1,260.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.42 : 2,073.71 = 913.34 : x
  2. Step 2: Convert to fraction form
    1,502.42/2,073.71 = 913.34/x
  3. Step 3: Cross multiply
    1,502.42x = 2,073.71 × 913.34
  4. Step 4: Simplify right side
    1,502.42x = 1,894,002.91
  5. Step 5: Solve for x
    x = 1,894,002.91/1,502.42
  6. Step 6: Final answer
    x = 1,260.64

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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.