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Finding the Fourth Proportional to 2,641.16, 3,641.64 and 2,329.40

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Solution

The fourth proportional to 2,641.16, 3,641.64 and 2,329.40 is: 3,211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.16 : 3,641.64 = 2,329.40 : x
  2. Step 2: Convert to fraction form
    2,641.16/3,641.64 = 2,329.40/x
  3. Step 3: Cross multiply
    2,641.16x = 3,641.64 × 2,329.40
  4. Step 4: Simplify right side
    2,641.16x = 8,482,836.22
  5. Step 5: Solve for x
    x = 8,482,836.22/2,641.16
  6. Step 6: Final answer
    x = 3,211.78

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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.