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Finding the Fourth Proportional to 1,864.17, 2,572.58 and 1,024.91

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Solution

The fourth proportional to 1,864.17, 2,572.58 and 1,024.91 is: 1,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.17 : 2,572.58 = 1,024.91 : x
  2. Step 2: Convert to fraction form
    1,864.17/2,572.58 = 1,024.91/x
  3. Step 3: Cross multiply
    1,864.17x = 2,572.58 × 1,024.91
  4. Step 4: Simplify right side
    1,864.17x = 2,636,644.98
  5. Step 5: Solve for x
    x = 2,636,644.98/1,864.17
  6. Step 6: Final answer
    x = 1,414.38

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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.