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Finding the Fourth Proportional to 2,870.83, 3,961.88 and 2,248.75

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Solution

The fourth proportional to 2,870.83, 3,961.88 and 2,248.75 is: 3,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.83 : 3,961.88 = 2,248.75 : x
  2. Step 2: Convert to fraction form
    2,870.83/3,961.88 = 2,248.75/x
  3. Step 3: Cross multiply
    2,870.83x = 3,961.88 × 2,248.75
  4. Step 4: Simplify right side
    2,870.83x = 8,909,266.41
  5. Step 5: Solve for x
    x = 8,909,266.41/2,870.83
  6. Step 6: Final answer
    x = 3,103.38

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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.