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Finding the Fourth Proportional to 1,540.86, 2,309.90 and 616.44

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Solution

The fourth proportional to 1,540.86, 2,309.90 and 616.44 is: 924.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.86 : 2,309.90 = 616.44 : x
  2. Step 2: Convert to fraction form
    1,540.86/2,309.90 = 616.44/x
  3. Step 3: Cross multiply
    1,540.86x = 2,309.90 × 616.44
  4. Step 4: Simplify right side
    1,540.86x = 1,423,911.67
  5. Step 5: Solve for x
    x = 1,423,911.67/1,540.86
  6. Step 6: Final answer
    x = 924.10

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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.