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Finding the Fourth Proportional to 1,702.28, 2,551.56 and 661.97

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Solution

The fourth proportional to 1,702.28, 2,551.56 and 661.97 is: 992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.28 : 2,551.56 = 661.97 : x
  2. Step 2: Convert to fraction form
    1,702.28/2,551.56 = 661.97/x
  3. Step 3: Cross multiply
    1,702.28x = 2,551.56 × 661.97
  4. Step 4: Simplify right side
    1,702.28x = 1,689,043.42
  5. Step 5: Solve for x
    x = 1,689,043.42/1,702.28
  6. Step 6: Final answer
    x = 992.23

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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.