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Finding the Fourth Proportional to 1,627.73, 2,438.13 and 750.95

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Solution

The fourth proportional to 1,627.73, 2,438.13 and 750.95 is: 1,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.73 : 2,438.13 = 750.95 : x
  2. Step 2: Convert to fraction form
    1,627.73/2,438.13 = 750.95/x
  3. Step 3: Cross multiply
    1,627.73x = 2,438.13 × 750.95
  4. Step 4: Simplify right side
    1,627.73x = 1,830,901.53
  5. Step 5: Solve for x
    x = 1,830,901.53/1,627.73
  6. Step 6: Final answer
    x = 1,124.82

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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.