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Finding the Fourth Proportional to 1,540.61, 2,311.84 and 616.03

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Solution

The fourth proportional to 1,540.61, 2,311.84 and 616.03 is: 924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.61 : 2,311.84 = 616.03 : x
  2. Step 2: Convert to fraction form
    1,540.61/2,311.84 = 616.03/x
  3. Step 3: Cross multiply
    1,540.61x = 2,311.84 × 616.03
  4. Step 4: Simplify right side
    1,540.61x = 1,424,157.79
  5. Step 5: Solve for x
    x = 1,424,157.79/1,540.61
  6. Step 6: Final answer
    x = 924.41

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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.