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Finding the Fourth Proportional to 1,540.02, 2,309.97 and 615.30

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Solution

The fourth proportional to 1,540.02, 2,309.97 and 615.30 is: 922.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.02 : 2,309.97 = 615.30 : x
  2. Step 2: Convert to fraction form
    1,540.02/2,309.97 = 615.30/x
  3. Step 3: Cross multiply
    1,540.02x = 2,309.97 × 615.30
  4. Step 4: Simplify right side
    1,540.02x = 1,421,324.54
  5. Step 5: Solve for x
    x = 1,421,324.54/1,540.02
  6. Step 6: Final answer
    x = 922.93

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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.