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Finding the Fourth Proportional to 2,077.28, 2,865.80 and 1,331.68

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Solution

The fourth proportional to 2,077.28, 2,865.80 and 1,331.68 is: 1,837.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.28 : 2,865.80 = 1,331.68 : x
  2. Step 2: Convert to fraction form
    2,077.28/2,865.80 = 1,331.68/x
  3. Step 3: Cross multiply
    2,077.28x = 2,865.80 × 1,331.68
  4. Step 4: Simplify right side
    2,077.28x = 3,816,332.58
  5. Step 5: Solve for x
    x = 3,816,332.58/2,077.28
  6. Step 6: Final answer
    x = 1,837.17

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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.