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Finding the Fourth Proportional to 2,525.27, 3,787.17 and 964.19

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Solution

The fourth proportional to 2,525.27, 3,787.17 and 964.19 is: 1,446.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.27 : 3,787.17 = 964.19 : x
  2. Step 2: Convert to fraction form
    2,525.27/3,787.17 = 964.19/x
  3. Step 3: Cross multiply
    2,525.27x = 3,787.17 × 964.19
  4. Step 4: Simplify right side
    2,525.27x = 3,651,532.51
  5. Step 5: Solve for x
    x = 3,651,532.51/2,525.27
  6. Step 6: Final answer
    x = 1,446.00

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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.