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Finding the Fourth Proportional to 1,726.72, 2,589.16 and 752.36

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Solution

The fourth proportional to 1,726.72, 2,589.16 and 752.36 is: 1,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.72 : 2,589.16 = 752.36 : x
  2. Step 2: Convert to fraction form
    1,726.72/2,589.16 = 752.36/x
  3. Step 3: Cross multiply
    1,726.72x = 2,589.16 × 752.36
  4. Step 4: Simplify right side
    1,726.72x = 1,947,980.42
  5. Step 5: Solve for x
    x = 1,947,980.42/1,726.72
  6. Step 6: Final answer
    x = 1,128.14

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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.