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Finding the Fourth Proportional to 2,734.59, 3,773.48 and 1,686.45

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Solution

The fourth proportional to 2,734.59, 3,773.48 and 1,686.45 is: 2,327.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.59 : 3,773.48 = 1,686.45 : x
  2. Step 2: Convert to fraction form
    2,734.59/3,773.48 = 1,686.45/x
  3. Step 3: Cross multiply
    2,734.59x = 3,773.48 × 1,686.45
  4. Step 4: Simplify right side
    2,734.59x = 6,363,776.91
  5. Step 5: Solve for x
    x = 6,363,776.91/2,734.59
  6. Step 6: Final answer
    x = 2,327.14

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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.