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Finding the Fourth Proportional to 1,651.42, 2,474.70 and 726.13

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Solution

The fourth proportional to 1,651.42, 2,474.70 and 726.13 is: 1,088.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.42 : 2,474.70 = 726.13 : x
  2. Step 2: Convert to fraction form
    1,651.42/2,474.70 = 726.13/x
  3. Step 3: Cross multiply
    1,651.42x = 2,474.70 × 726.13
  4. Step 4: Simplify right side
    1,651.42x = 1,796,953.91
  5. Step 5: Solve for x
    x = 1,796,953.91/1,651.42
  6. Step 6: Final answer
    x = 1,088.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.