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Finding the Fourth Proportional to 2,669.34, 3,672.63 and 2,591.58

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Solution

The fourth proportional to 2,669.34, 3,672.63 and 2,591.58 is: 3,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.34 : 3,672.63 = 2,591.58 : x
  2. Step 2: Convert to fraction form
    2,669.34/3,672.63 = 2,591.58/x
  3. Step 3: Cross multiply
    2,669.34x = 3,672.63 × 2,591.58
  4. Step 4: Simplify right side
    2,669.34x = 9,517,914.46
  5. Step 5: Solve for x
    x = 9,517,914.46/2,669.34
  6. Step 6: Final answer
    x = 3,565.64

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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.