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Finding the Fourth Proportional to 2,102.96, 2,901.24 and 1,273.52

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Solution

The fourth proportional to 2,102.96, 2,901.24 and 1,273.52 is: 1,756.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.96 : 2,901.24 = 1,273.52 : x
  2. Step 2: Convert to fraction form
    2,102.96/2,901.24 = 1,273.52/x
  3. Step 3: Cross multiply
    2,102.96x = 2,901.24 × 1,273.52
  4. Step 4: Simplify right side
    2,102.96x = 3,694,787.16
  5. Step 5: Solve for x
    x = 3,694,787.16/2,102.96
  6. Step 6: Final answer
    x = 1,756.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.