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Finding the Fourth Proportional to 3,411.68, 5,118.56 and 1,769.40

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Solution

The fourth proportional to 3,411.68, 5,118.56 and 1,769.40 is: 2,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.68 : 5,118.56 = 1,769.40 : x
  2. Step 2: Convert to fraction form
    3,411.68/5,118.56 = 1,769.40/x
  3. Step 3: Cross multiply
    3,411.68x = 5,118.56 × 1,769.40
  4. Step 4: Simplify right side
    3,411.68x = 9,056,780.06
  5. Step 5: Solve for x
    x = 9,056,780.06/3,411.68
  6. Step 6: Final answer
    x = 2,654.64

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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.