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Finding the Fourth Proportional to 2,246.39, 3,369.95 and 948.05

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Solution

The fourth proportional to 2,246.39, 3,369.95 and 948.05 is: 1,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.39 : 3,369.95 = 948.05 : x
  2. Step 2: Convert to fraction form
    2,246.39/3,369.95 = 948.05/x
  3. Step 3: Cross multiply
    2,246.39x = 3,369.95 × 948.05
  4. Step 4: Simplify right side
    2,246.39x = 3,194,876.36
  5. Step 5: Solve for x
    x = 3,194,876.36/2,246.39
  6. Step 6: Final answer
    x = 1,422.23

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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.