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Finding the Fourth Proportional to 1,454.92, 2,008.37 and 895.61

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Solution

The fourth proportional to 1,454.92, 2,008.37 and 895.61 is: 1,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.92 : 2,008.37 = 895.61 : x
  2. Step 2: Convert to fraction form
    1,454.92/2,008.37 = 895.61/x
  3. Step 3: Cross multiply
    1,454.92x = 2,008.37 × 895.61
  4. Step 4: Simplify right side
    1,454.92x = 1,798,716.26
  5. Step 5: Solve for x
    x = 1,798,716.26/1,454.92
  6. Step 6: Final answer
    x = 1,236.30

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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.