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Finding the Fourth Proportional to 1,700.34, 2,549.97 and 726.18

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Solution

The fourth proportional to 1,700.34, 2,549.97 and 726.18 is: 1,089.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.34 : 2,549.97 = 726.18 : x
  2. Step 2: Convert to fraction form
    1,700.34/2,549.97 = 726.18/x
  3. Step 3: Cross multiply
    1,700.34x = 2,549.97 × 726.18
  4. Step 4: Simplify right side
    1,700.34x = 1,851,737.21
  5. Step 5: Solve for x
    x = 1,851,737.21/1,700.34
  6. Step 6: Final answer
    x = 1,089.04

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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.