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Finding the Fourth Proportional to 2,177.28, 3,265.76 and 638.08

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Solution

The fourth proportional to 2,177.28, 3,265.76 and 638.08 is: 957.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.28 : 3,265.76 = 638.08 : x
  2. Step 2: Convert to fraction form
    2,177.28/3,265.76 = 638.08/x
  3. Step 3: Cross multiply
    2,177.28x = 3,265.76 × 638.08
  4. Step 4: Simplify right side
    2,177.28x = 2,083,816.14
  5. Step 5: Solve for x
    x = 2,083,816.14/2,177.28
  6. Step 6: Final answer
    x = 957.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.