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Finding the Fourth Proportional to 1,641.59, 2,265.32 and 895.53

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Solution

The fourth proportional to 1,641.59, 2,265.32 and 895.53 is: 1,235.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.59 : 2,265.32 = 895.53 : x
  2. Step 2: Convert to fraction form
    1,641.59/2,265.32 = 895.53/x
  3. Step 3: Cross multiply
    1,641.59x = 2,265.32 × 895.53
  4. Step 4: Simplify right side
    1,641.59x = 2,028,657.54
  5. Step 5: Solve for x
    x = 2,028,657.54/1,641.59
  6. Step 6: Final answer
    x = 1,235.79

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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.