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Finding the Fourth Proportional to 1,540.08, 2,310.90 and 616.28

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Solution

The fourth proportional to 1,540.08, 2,310.90 and 616.28 is: 924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.08 : 2,310.90 = 616.28 : x
  2. Step 2: Convert to fraction form
    1,540.08/2,310.90 = 616.28/x
  3. Step 3: Cross multiply
    1,540.08x = 2,310.90 × 616.28
  4. Step 4: Simplify right side
    1,540.08x = 1,424,147.59
  5. Step 5: Solve for x
    x = 1,424,147.59/1,540.08
  6. Step 6: Final answer
    x = 924.72

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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.