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Finding the Fourth Proportional to 1,641.95, 2,265.81 and 895.87

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Solution

The fourth proportional to 1,641.95, 2,265.81 and 895.87 is: 1,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.95 : 2,265.81 = 895.87 : x
  2. Step 2: Convert to fraction form
    1,641.95/2,265.81 = 895.87/x
  3. Step 3: Cross multiply
    1,641.95x = 2,265.81 × 895.87
  4. Step 4: Simplify right side
    1,641.95x = 2,029,862.12
  5. Step 5: Solve for x
    x = 2,029,862.12/1,641.95
  6. Step 6: Final answer
    x = 1,236.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.