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Finding the Fourth Proportional to 3,228.34, 4,842.78 and 1,148.80

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Solution

The fourth proportional to 3,228.34, 4,842.78 and 1,148.80 is: 1,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.34 : 4,842.78 = 1,148.80 : x
  2. Step 2: Convert to fraction form
    3,228.34/4,842.78 = 1,148.80/x
  3. Step 3: Cross multiply
    3,228.34x = 4,842.78 × 1,148.80
  4. Step 4: Simplify right side
    3,228.34x = 5,563,385.66
  5. Step 5: Solve for x
    x = 5,563,385.66/3,228.34
  6. Step 6: Final answer
    x = 1,723.30

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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.