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Finding the Fourth Proportional to 1,540.44, 2,309.85 and 760.41

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Solution

The fourth proportional to 1,540.44, 2,309.85 and 760.41 is: 1,140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.44 : 2,309.85 = 760.41 : x
  2. Step 2: Convert to fraction form
    1,540.44/2,309.85 = 760.41/x
  3. Step 3: Cross multiply
    1,540.44x = 2,309.85 × 760.41
  4. Step 4: Simplify right side
    1,540.44x = 1,756,423.46
  5. Step 5: Solve for x
    x = 1,756,423.46/1,540.44
  6. Step 6: Final answer
    x = 1,140.21

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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.