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Finding the Fourth Proportional to 1,641.71, 2,265.61 and 895.71

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Solution

The fourth proportional to 1,641.71, 2,265.61 and 895.71 is: 1,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.71 : 2,265.61 = 895.71 : x
  2. Step 2: Convert to fraction form
    1,641.71/2,265.61 = 895.71/x
  3. Step 3: Cross multiply
    1,641.71x = 2,265.61 × 895.71
  4. Step 4: Simplify right side
    1,641.71x = 2,029,329.53
  5. Step 5: Solve for x
    x = 2,029,329.53/1,641.71
  6. Step 6: Final answer
    x = 1,236.11

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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.