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Finding the Fourth Proportional to 1,502.34, 2,073.12 and 912.78

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Solution

The fourth proportional to 1,502.34, 2,073.12 and 912.78 is: 1,259.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.34 : 2,073.12 = 912.78 : x
  2. Step 2: Convert to fraction form
    1,502.34/2,073.12 = 912.78/x
  3. Step 3: Cross multiply
    1,502.34x = 2,073.12 × 912.78
  4. Step 4: Simplify right side
    1,502.34x = 1,892,302.47
  5. Step 5: Solve for x
    x = 1,892,302.47/1,502.34
  6. Step 6: Final answer
    x = 1,259.57

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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.