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Finding the Fourth Proportional to 3,298.70, 4,945.18 and 1,349.66

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Solution

The fourth proportional to 3,298.70, 4,945.18 and 1,349.66 is: 2,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.70 : 4,945.18 = 1,349.66 : x
  2. Step 2: Convert to fraction form
    3,298.70/4,945.18 = 1,349.66/x
  3. Step 3: Cross multiply
    3,298.70x = 4,945.18 × 1,349.66
  4. Step 4: Simplify right side
    3,298.70x = 6,674,311.64
  5. Step 5: Solve for x
    x = 6,674,311.64/3,298.70
  6. Step 6: Final answer
    x = 2,023.32

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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.