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Finding the Fourth Proportional to 3,298.42, 4,946.10 and 1,912.16

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Solution

The fourth proportional to 3,298.42, 4,946.10 and 1,912.16 is: 2,867.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.42 : 4,946.10 = 1,912.16 : x
  2. Step 2: Convert to fraction form
    3,298.42/4,946.10 = 1,912.16/x
  3. Step 3: Cross multiply
    3,298.42x = 4,946.10 × 1,912.16
  4. Step 4: Simplify right side
    3,298.42x = 9,457,711.95
  5. Step 5: Solve for x
    x = 9,457,711.95/3,298.42
  6. Step 6: Final answer
    x = 2,867.34

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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.