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Finding the Fourth Proportional to 1,691.07, 2,328.10 and 1,454.14

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Solution

The fourth proportional to 1,691.07, 2,328.10 and 1,454.14 is: 2,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.07 : 2,328.10 = 1,454.14 : x
  2. Step 2: Convert to fraction form
    1,691.07/2,328.10 = 1,454.14/x
  3. Step 3: Cross multiply
    1,691.07x = 2,328.10 × 1,454.14
  4. Step 4: Simplify right side
    1,691.07x = 3,385,383.33
  5. Step 5: Solve for x
    x = 3,385,383.33/1,691.07
  6. Step 6: Final answer
    x = 2,001.92

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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.