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Finding the Fourth Proportional to 2,829.68, 3,902.16 and 2,159.20

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Solution

The fourth proportional to 2,829.68, 3,902.16 and 2,159.20 is: 2,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.68 : 3,902.16 = 2,159.20 : x
  2. Step 2: Convert to fraction form
    2,829.68/3,902.16 = 2,159.20/x
  3. Step 3: Cross multiply
    2,829.68x = 3,902.16 × 2,159.20
  4. Step 4: Simplify right side
    2,829.68x = 8,425,543.87
  5. Step 5: Solve for x
    x = 8,425,543.87/2,829.68
  6. Step 6: Final answer
    x = 2,977.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.