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Finding the Fourth Proportional to 2,166.93, 3,248.10 and 1,069.92

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Solution

The fourth proportional to 2,166.93, 3,248.10 and 1,069.92 is: 1,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.93 : 3,248.10 = 1,069.92 : x
  2. Step 2: Convert to fraction form
    2,166.93/3,248.10 = 1,069.92/x
  3. Step 3: Cross multiply
    2,166.93x = 3,248.10 × 1,069.92
  4. Step 4: Simplify right side
    2,166.93x = 3,475,207.15
  5. Step 5: Solve for x
    x = 3,475,207.15/2,166.93
  6. Step 6: Final answer
    x = 1,603.75

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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.