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Finding the Fourth Proportional to 2,172.30, 3,257.47 and 691.10

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Solution

The fourth proportional to 2,172.30, 3,257.47 and 691.10 is: 1,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.30 : 3,257.47 = 691.10 : x
  2. Step 2: Convert to fraction form
    2,172.30/3,257.47 = 691.10/x
  3. Step 3: Cross multiply
    2,172.30x = 3,257.47 × 691.10
  4. Step 4: Simplify right side
    2,172.30x = 2,251,237.52
  5. Step 5: Solve for x
    x = 2,251,237.52/2,172.30
  6. Step 6: Final answer
    x = 1,036.34

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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.