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Finding the Fourth Proportional to 3,298.98, 4,948.26 and 1,351.14

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Solution

The fourth proportional to 3,298.98, 4,948.26 and 1,351.14 is: 2,026.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.98 : 4,948.26 = 1,351.14 : x
  2. Step 2: Convert to fraction form
    3,298.98/4,948.26 = 1,351.14/x
  3. Step 3: Cross multiply
    3,298.98x = 4,948.26 × 1,351.14
  4. Step 4: Simplify right side
    3,298.98x = 6,685,792.02
  5. Step 5: Solve for x
    x = 6,685,792.02/3,298.98
  6. Step 6: Final answer
    x = 2,026.62

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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.