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Finding the Fourth Proportional to 2,591.97, 3,887.82 and 948.35

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Solution

The fourth proportional to 2,591.97, 3,887.82 and 948.35 is: 1,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.97 : 3,887.82 = 948.35 : x
  2. Step 2: Convert to fraction form
    2,591.97/3,887.82 = 948.35/x
  3. Step 3: Cross multiply
    2,591.97x = 3,887.82 × 948.35
  4. Step 4: Simplify right side
    2,591.97x = 3,686,994.66
  5. Step 5: Solve for x
    x = 3,686,994.66/2,591.97
  6. Step 6: Final answer
    x = 1,422.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.