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Finding the Fourth Proportional to 3,444.05, 5,166.62 and 1,689.19

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Solution

The fourth proportional to 3,444.05, 5,166.62 and 1,689.19 is: 2,534.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.05 : 5,166.62 = 1,689.19 : x
  2. Step 2: Convert to fraction form
    3,444.05/5,166.62 = 1,689.19/x
  3. Step 3: Cross multiply
    3,444.05x = 5,166.62 × 1,689.19
  4. Step 4: Simplify right side
    3,444.05x = 8,727,402.84
  5. Step 5: Solve for x
    x = 8,727,402.84/3,444.05
  6. Step 6: Final answer
    x = 2,534.05

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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.