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Finding the Fourth Proportional to 2,865.60, 4,290.30 and 2,541.60

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Solution

The fourth proportional to 2,865.60, 4,290.30 and 2,541.60 is: 3,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.60 : 4,290.30 = 2,541.60 : x
  2. Step 2: Convert to fraction form
    2,865.60/4,290.30 = 2,541.60/x
  3. Step 3: Cross multiply
    2,865.60x = 4,290.30 × 2,541.60
  4. Step 4: Simplify right side
    2,865.60x = 10,904,226.48
  5. Step 5: Solve for x
    x = 10,904,226.48/2,865.60
  6. Step 6: Final answer
    x = 3,805.22

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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.