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Finding the Fourth Proportional to 1,540.29, 2,309.87 and 615.57

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Solution

The fourth proportional to 1,540.29, 2,309.87 and 615.57 is: 923.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.29 : 2,309.87 = 615.57 : x
  2. Step 2: Convert to fraction form
    1,540.29/2,309.87 = 615.57/x
  3. Step 3: Cross multiply
    1,540.29x = 2,309.87 × 615.57
  4. Step 4: Simplify right side
    1,540.29x = 1,421,886.68
  5. Step 5: Solve for x
    x = 1,421,886.68/1,540.29
  6. Step 6: Final answer
    x = 923.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.