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Finding the Fourth Proportional to 1,541.60, 2,310.74 and 760.52

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Solution

The fourth proportional to 1,541.60, 2,310.74 and 760.52 is: 1,139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.60 : 2,310.74 = 760.52 : x
  2. Step 2: Convert to fraction form
    1,541.60/2,310.74 = 760.52/x
  3. Step 3: Cross multiply
    1,541.60x = 2,310.74 × 760.52
  4. Step 4: Simplify right side
    1,541.60x = 1,757,363.98
  5. Step 5: Solve for x
    x = 1,757,363.98/1,541.60
  6. Step 6: Final answer
    x = 1,139.96

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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.