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Finding the Fourth Proportional to 2,951.66, 4,427.47 and 760.38

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Solution

The fourth proportional to 2,951.66, 4,427.47 and 760.38 is: 1,140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.66 : 4,427.47 = 760.38 : x
  2. Step 2: Convert to fraction form
    2,951.66/4,427.47 = 760.38/x
  3. Step 3: Cross multiply
    2,951.66x = 4,427.47 × 760.38
  4. Step 4: Simplify right side
    2,951.66x = 3,366,557.74
  5. Step 5: Solve for x
    x = 3,366,557.74/2,951.66
  6. Step 6: Final answer
    x = 1,140.57

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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.