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Finding the Fourth Proportional to 1,725.91, 2,378.97 and 1,061.30

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Solution

The fourth proportional to 1,725.91, 2,378.97 and 1,061.30 is: 1,462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.91 : 2,378.97 = 1,061.30 : x
  2. Step 2: Convert to fraction form
    1,725.91/2,378.97 = 1,061.30/x
  3. Step 3: Cross multiply
    1,725.91x = 2,378.97 × 1,061.30
  4. Step 4: Simplify right side
    1,725.91x = 2,524,806.81
  5. Step 5: Solve for x
    x = 2,524,806.81/1,725.91
  6. Step 6: Final answer
    x = 1,462.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.