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Finding the Fourth Proportional to 2,639.75, 3,957.69 and 1,527.60

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Solution

The fourth proportional to 2,639.75, 3,957.69 and 1,527.60 is: 2,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.75 : 3,957.69 = 1,527.60 : x
  2. Step 2: Convert to fraction form
    2,639.75/3,957.69 = 1,527.60/x
  3. Step 3: Cross multiply
    2,639.75x = 3,957.69 × 1,527.60
  4. Step 4: Simplify right side
    2,639.75x = 6,045,767.24
  5. Step 5: Solve for x
    x = 6,045,767.24/2,639.75
  6. Step 6: Final answer
    x = 2,290.28

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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.