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Finding the Fourth Proportional to 1,725.71, 2,379.24 and 1,410.66

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Solution

The fourth proportional to 1,725.71, 2,379.24 and 1,410.66 is: 1,944.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.71 : 2,379.24 = 1,410.66 : x
  2. Step 2: Convert to fraction form
    1,725.71/2,379.24 = 1,410.66/x
  3. Step 3: Cross multiply
    1,725.71x = 2,379.24 × 1,410.66
  4. Step 4: Simplify right side
    1,725.71x = 3,356,298.70
  5. Step 5: Solve for x
    x = 3,356,298.70/1,725.71
  6. Step 6: Final answer
    x = 1,944.89

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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.