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Finding the Fourth Proportional to 3,148.96, 4,715.16 and 2,219.48

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Solution

The fourth proportional to 3,148.96, 4,715.16 and 2,219.48 is: 3,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.96 : 4,715.16 = 2,219.48 : x
  2. Step 2: Convert to fraction form
    3,148.96/4,715.16 = 2,219.48/x
  3. Step 3: Cross multiply
    3,148.96x = 4,715.16 × 2,219.48
  4. Step 4: Simplify right side
    3,148.96x = 10,465,203.32
  5. Step 5: Solve for x
    x = 10,465,203.32/3,148.96
  6. Step 6: Final answer
    x = 3,323.38

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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.