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Finding the Fourth Proportional to 1,725.47, 2,589.41 and 751.07

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Solution

The fourth proportional to 1,725.47, 2,589.41 and 751.07 is: 1,127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.47 : 2,589.41 = 751.07 : x
  2. Step 2: Convert to fraction form
    1,725.47/2,589.41 = 751.07/x
  3. Step 3: Cross multiply
    1,725.47x = 2,589.41 × 751.07
  4. Step 4: Simplify right side
    1,725.47x = 1,944,824.41
  5. Step 5: Solve for x
    x = 1,944,824.41/1,725.47
  6. Step 6: Final answer
    x = 1,127.13

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