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Finding the Fourth Proportional to 2,555.52, 3,530.08 and 2,002.96

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Solution

The fourth proportional to 2,555.52, 3,530.08 and 2,002.96 is: 2,766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.52 : 3,530.08 = 2,002.96 : x
  2. Step 2: Convert to fraction form
    2,555.52/3,530.08 = 2,002.96/x
  3. Step 3: Cross multiply
    2,555.52x = 3,530.08 × 2,002.96
  4. Step 4: Simplify right side
    2,555.52x = 7,070,609.04
  5. Step 5: Solve for x
    x = 7,070,609.04/2,555.52
  6. Step 6: Final answer
    x = 2,766.80

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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.