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Finding the Fourth Proportional to 2,529.87, 3,491.20 and 1,411.05

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Solution

The fourth proportional to 2,529.87, 3,491.20 and 1,411.05 is: 1,947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.87 : 3,491.20 = 1,411.05 : x
  2. Step 2: Convert to fraction form
    2,529.87/3,491.20 = 1,411.05/x
  3. Step 3: Cross multiply
    2,529.87x = 3,491.20 × 1,411.05
  4. Step 4: Simplify right side
    2,529.87x = 4,926,272.62
  5. Step 5: Solve for x
    x = 4,926,272.62/2,529.87
  6. Step 6: Final answer
    x = 1,947.25

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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.