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Finding the Fourth Proportional to 2,854.40, 4,257.52 and 2,602.88

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Solution

The fourth proportional to 2,854.40, 4,257.52 and 2,602.88 is: 3,882.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.40 : 4,257.52 = 2,602.88 : x
  2. Step 2: Convert to fraction form
    2,854.40/4,257.52 = 2,602.88/x
  3. Step 3: Cross multiply
    2,854.40x = 4,257.52 × 2,602.88
  4. Step 4: Simplify right side
    2,854.40x = 11,081,813.66
  5. Step 5: Solve for x
    x = 11,081,813.66/2,854.40
  6. Step 6: Final answer
    x = 3,882.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.