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Finding the Fourth Proportional to 3,298.24, 4,947.36 and 1,349.16

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Solution

The fourth proportional to 3,298.24, 4,947.36 and 1,349.16 is: 2,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.24 : 4,947.36 = 1,349.16 : x
  2. Step 2: Convert to fraction form
    3,298.24/4,947.36 = 1,349.16/x
  3. Step 3: Cross multiply
    3,298.24x = 4,947.36 × 1,349.16
  4. Step 4: Simplify right side
    3,298.24x = 6,674,780.22
  5. Step 5: Solve for x
    x = 6,674,780.22/3,298.24
  6. Step 6: Final answer
    x = 2,023.74

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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.