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Finding the Fourth Proportional to 2,876.80, 4,308.80 and 2,222.40

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Solution

The fourth proportional to 2,876.80, 4,308.80 and 2,222.40 is: 3,328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.80 : 4,308.80 = 2,222.40 : x
  2. Step 2: Convert to fraction form
    2,876.80/4,308.80 = 2,222.40/x
  3. Step 3: Cross multiply
    2,876.80x = 4,308.80 × 2,222.40
  4. Step 4: Simplify right side
    2,876.80x = 9,575,877.12
  5. Step 5: Solve for x
    x = 9,575,877.12/2,876.80
  6. Step 6: Final answer
    x = 3,328.66

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