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Finding the Fourth Proportional to 2,671.29, 3,686.18 and 1,609.11

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Solution

The fourth proportional to 2,671.29, 3,686.18 and 1,609.11 is: 2,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.29 : 3,686.18 = 1,609.11 : x
  2. Step 2: Convert to fraction form
    2,671.29/3,686.18 = 1,609.11/x
  3. Step 3: Cross multiply
    2,671.29x = 3,686.18 × 1,609.11
  4. Step 4: Simplify right side
    2,671.29x = 5,931,461.05
  5. Step 5: Solve for x
    x = 5,931,461.05/2,671.29
  6. Step 6: Final answer
    x = 2,220.45

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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.