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Finding the Fourth Proportional to 2,168.04, 3,251.90 and 707.06

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Solution

The fourth proportional to 2,168.04, 3,251.90 and 707.06 is: 1,060.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.04 : 3,251.90 = 707.06 : x
  2. Step 2: Convert to fraction form
    2,168.04/3,251.90 = 707.06/x
  3. Step 3: Cross multiply
    2,168.04x = 3,251.90 × 707.06
  4. Step 4: Simplify right side
    2,168.04x = 2,299,288.41
  5. Step 5: Solve for x
    x = 2,299,288.41/2,168.04
  6. Step 6: Final answer
    x = 1,060.54

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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.