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Finding the Fourth Proportional to 2,168.27, 3,252.03 and 707.42

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Solution

The fourth proportional to 2,168.27, 3,252.03 and 707.42 is: 1,061.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.27 : 3,252.03 = 707.42 : x
  2. Step 2: Convert to fraction form
    2,168.27/3,252.03 = 707.42/x
  3. Step 3: Cross multiply
    2,168.27x = 3,252.03 × 707.42
  4. Step 4: Simplify right side
    2,168.27x = 2,300,534.80
  5. Step 5: Solve for x
    x = 2,300,534.80/2,168.27
  6. Step 6: Final answer
    x = 1,061.00

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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.