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Finding the Fourth Proportional to 2,248.83, 3,373.20 and 949.41

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Solution

The fourth proportional to 2,248.83, 3,373.20 and 949.41 is: 1,424.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.83 : 3,373.20 = 949.41 : x
  2. Step 2: Convert to fraction form
    2,248.83/3,373.20 = 949.41/x
  3. Step 3: Cross multiply
    2,248.83x = 3,373.20 × 949.41
  4. Step 4: Simplify right side
    2,248.83x = 3,202,549.81
  5. Step 5: Solve for x
    x = 3,202,549.81/2,248.83
  6. Step 6: Final answer
    x = 1,424.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.