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Finding the Fourth Proportional to 2,168.96, 3,253.20 and 707.98

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Solution

The fourth proportional to 2,168.96, 3,253.20 and 707.98 is: 1,061.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.96 : 3,253.20 = 707.98 : x
  2. Step 2: Convert to fraction form
    2,168.96/3,253.20 = 707.98/x
  3. Step 3: Cross multiply
    2,168.96x = 3,253.20 × 707.98
  4. Step 4: Simplify right side
    2,168.96x = 2,303,200.54
  5. Step 5: Solve for x
    x = 2,303,200.54/2,168.96
  6. Step 6: Final answer
    x = 1,061.89

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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.