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Finding the Fourth Proportional to 2,252.64, 3,374.09 and 1,428.87

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Solution

The fourth proportional to 2,252.64, 3,374.09 and 1,428.87 is: 2,140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.64 : 3,374.09 = 1,428.87 : x
  2. Step 2: Convert to fraction form
    2,252.64/3,374.09 = 1,428.87/x
  3. Step 3: Cross multiply
    2,252.64x = 3,374.09 × 1,428.87
  4. Step 4: Simplify right side
    2,252.64x = 4,821,128.83
  5. Step 5: Solve for x
    x = 4,821,128.83/2,252.64
  6. Step 6: Final answer
    x = 2,140.21

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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.