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Finding the Fourth Proportional to 3,167.68, 4,748.88 and 1,219.36

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Solution

The fourth proportional to 3,167.68, 4,748.88 and 1,219.36 is: 1,828.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.68 : 4,748.88 = 1,219.36 : x
  2. Step 2: Convert to fraction form
    3,167.68/4,748.88 = 1,219.36/x
  3. Step 3: Cross multiply
    3,167.68x = 4,748.88 × 1,219.36
  4. Step 4: Simplify right side
    3,167.68x = 5,790,594.32
  5. Step 5: Solve for x
    x = 5,790,594.32/3,167.68
  6. Step 6: Final answer
    x = 1,828.02

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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.