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Finding the Fourth Proportional to 1,641.84, 2,265.75 and 895.80

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Solution

The fourth proportional to 1,641.84, 2,265.75 and 895.80 is: 1,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.84 : 2,265.75 = 895.80 : x
  2. Step 2: Convert to fraction form
    1,641.84/2,265.75 = 895.80/x
  3. Step 3: Cross multiply
    1,641.84x = 2,265.75 × 895.80
  4. Step 4: Simplify right side
    1,641.84x = 2,029,658.85
  5. Step 5: Solve for x
    x = 2,029,658.85/1,641.84
  6. Step 6: Final answer
    x = 1,236.21

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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.