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Finding the Fourth Proportional to 3,274.70, 4,518.65 and 1,948.14

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Solution

The fourth proportional to 3,274.70, 4,518.65 and 1,948.14 is: 2,688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.70 : 4,518.65 = 1,948.14 : x
  2. Step 2: Convert to fraction form
    3,274.70/4,518.65 = 1,948.14/x
  3. Step 3: Cross multiply
    3,274.70x = 4,518.65 × 1,948.14
  4. Step 4: Simplify right side
    3,274.70x = 8,802,967.68
  5. Step 5: Solve for x
    x = 8,802,967.68/3,274.70
  6. Step 6: Final answer
    x = 2,688.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.