Home / 2,132.28-2,942.52-1,200.78

Finding the Fourth Proportional to 2,132.28, 2,942.52 and 1,200.78

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Solution

The fourth proportional to 2,132.28, 2,942.52 and 1,200.78 is: 1,657.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.28 : 2,942.52 = 1,200.78 : x
  2. Step 2: Convert to fraction form
    2,132.28/2,942.52 = 1,200.78/x
  3. Step 3: Cross multiply
    2,132.28x = 2,942.52 × 1,200.78
  4. Step 4: Simplify right side
    2,132.28x = 3,533,319.17
  5. Step 5: Solve for x
    x = 3,533,319.17/2,132.28
  6. Step 6: Final answer
    x = 1,657.06

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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.