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Finding the Fourth Proportional to 3,196.80, 4,789.12 and 1,877.32

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Solution

The fourth proportional to 3,196.80, 4,789.12 and 1,877.32 is: 2,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.80 : 4,789.12 = 1,877.32 : x
  2. Step 2: Convert to fraction form
    3,196.80/4,789.12 = 1,877.32/x
  3. Step 3: Cross multiply
    3,196.80x = 4,789.12 × 1,877.32
  4. Step 4: Simplify right side
    3,196.80x = 8,990,710.76
  5. Step 5: Solve for x
    x = 8,990,710.76/3,196.80
  6. Step 6: Final answer
    x = 2,812.41

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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.