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Finding the Fourth Proportional to 1,641.87, 2,264.84 and 969.87

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Solution

The fourth proportional to 1,641.87, 2,264.84 and 969.87 is: 1,337.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.87 : 2,264.84 = 969.87 : x
  2. Step 2: Convert to fraction form
    1,641.87/2,264.84 = 969.87/x
  3. Step 3: Cross multiply
    1,641.87x = 2,264.84 × 969.87
  4. Step 4: Simplify right side
    1,641.87x = 2,196,595.52
  5. Step 5: Solve for x
    x = 2,196,595.52/1,641.87
  6. Step 6: Final answer
    x = 1,337.86

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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.