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Finding the Fourth Proportional to 1,472.64, 2,031 and 1,140.48

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Solution

The fourth proportional to 1,472.64, 2,031 and 1,140.48 is: 1,572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.64 : 2,031 = 1,140.48 : x
  2. Step 2: Convert to fraction form
    1,472.64/2,031 = 1,140.48/x
  3. Step 3: Cross multiply
    1,472.64x = 2,031 × 1,140.48
  4. Step 4: Simplify right side
    1,472.64x = 2,316,314.88
  5. Step 5: Solve for x
    x = 2,316,314.88/1,472.64
  6. Step 6: Final answer
    x = 1,572.90

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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.