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Finding the Fourth Proportional to 1,573.31, 2,171.17 and 874.69

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Solution

The fourth proportional to 1,573.31, 2,171.17 and 874.69 is: 1,207.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.31 : 2,171.17 = 874.69 : x
  2. Step 2: Convert to fraction form
    1,573.31/2,171.17 = 874.69/x
  3. Step 3: Cross multiply
    1,573.31x = 2,171.17 × 874.69
  4. Step 4: Simplify right side
    1,573.31x = 1,899,096.35
  5. Step 5: Solve for x
    x = 1,899,096.35/1,573.31
  6. Step 6: Final answer
    x = 1,207.07

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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.