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Finding the Fourth Proportional to 2,490.71, 3,732.58 and 1,380.64

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Solution

The fourth proportional to 2,490.71, 3,732.58 and 1,380.64 is: 2,069.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.71 : 3,732.58 = 1,380.64 : x
  2. Step 2: Convert to fraction form
    2,490.71/3,732.58 = 1,380.64/x
  3. Step 3: Cross multiply
    2,490.71x = 3,732.58 × 1,380.64
  4. Step 4: Simplify right side
    2,490.71x = 5,153,342.35
  5. Step 5: Solve for x
    x = 5,153,342.35/2,490.71
  6. Step 6: Final answer
    x = 2,069.03

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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.