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Finding the Fourth Proportional to 2,166.96, 3,248.04 and 1,069

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Solution

The fourth proportional to 2,166.96, 3,248.04 and 1,069 is: 1,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.96 : 3,248.04 = 1,069 : x
  2. Step 2: Convert to fraction form
    2,166.96/3,248.04 = 1,069/x
  3. Step 3: Cross multiply
    2,166.96x = 3,248.04 × 1,069
  4. Step 4: Simplify right side
    2,166.96x = 3,472,154.76
  5. Step 5: Solve for x
    x = 3,472,154.76/2,166.96
  6. Step 6: Final answer
    x = 1,602.32

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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.