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Finding the Fourth Proportional to 1,502.64, 2,073.03 and 1,060.38

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Solution

The fourth proportional to 1,502.64, 2,073.03 and 1,060.38 is: 1,462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.64 : 2,073.03 = 1,060.38 : x
  2. Step 2: Convert to fraction form
    1,502.64/2,073.03 = 1,060.38/x
  3. Step 3: Cross multiply
    1,502.64x = 2,073.03 × 1,060.38
  4. Step 4: Simplify right side
    1,502.64x = 2,198,199.55
  5. Step 5: Solve for x
    x = 2,198,199.55/1,502.64
  6. Step 6: Final answer
    x = 1,462.89

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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.