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Finding the Fourth Proportional to 1,641.75, 2,267.49 and 1,116.87

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Solution

The fourth proportional to 1,641.75, 2,267.49 and 1,116.87 is: 1,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.75 : 2,267.49 = 1,116.87 : x
  2. Step 2: Convert to fraction form
    1,641.75/2,267.49 = 1,116.87/x
  3. Step 3: Cross multiply
    1,641.75x = 2,267.49 × 1,116.87
  4. Step 4: Simplify right side
    1,641.75x = 2,532,491.56
  5. Step 5: Solve for x
    x = 2,532,491.56/1,641.75
  6. Step 6: Final answer
    x = 1,542.56

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1.5x scale

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.