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Finding the Fourth Proportional to 2,447.35, 3,671.28 and 887.77

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Solution

The fourth proportional to 2,447.35, 3,671.28 and 887.77 is: 1,331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.35 : 3,671.28 = 887.77 : x
  2. Step 2: Convert to fraction form
    2,447.35/3,671.28 = 887.77/x
  3. Step 3: Cross multiply
    2,447.35x = 3,671.28 × 887.77
  4. Step 4: Simplify right side
    2,447.35x = 3,259,252.25
  5. Step 5: Solve for x
    x = 3,259,252.25/2,447.35
  6. Step 6: Final answer
    x = 1,331.75

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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.