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Finding the Fourth Proportional to 1,691.58, 2,522.69 and 1,446.31

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Solution

The fourth proportional to 1,691.58, 2,522.69 and 1,446.31 is: 2,156.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.58 : 2,522.69 = 1,446.31 : x
  2. Step 2: Convert to fraction form
    1,691.58/2,522.69 = 1,446.31/x
  3. Step 3: Cross multiply
    1,691.58x = 2,522.69 × 1,446.31
  4. Step 4: Simplify right side
    1,691.58x = 3,648,587.06
  5. Step 5: Solve for x
    x = 3,648,587.06/1,691.58
  6. Step 6: Final answer
    x = 2,156.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.