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Finding the Fourth Proportional to 2,447.75, 3,671.64 and 887.47

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Solution

The fourth proportional to 2,447.75, 3,671.64 and 887.47 is: 1,331.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.75 : 3,671.64 = 887.47 : x
  2. Step 2: Convert to fraction form
    2,447.75/3,671.64 = 887.47/x
  3. Step 3: Cross multiply
    2,447.75x = 3,671.64 × 887.47
  4. Step 4: Simplify right side
    2,447.75x = 3,258,461.17
  5. Step 5: Solve for x
    x = 3,258,461.17/2,447.75
  6. Step 6: Final answer
    x = 1,331.21

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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.