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Finding the Fourth Proportional to 2,948.40, 4,433.40 and 2,473.20

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Solution

The fourth proportional to 2,948.40, 4,433.40 and 2,473.20 is: 3,718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.40 : 4,433.40 = 2,473.20 : x
  2. Step 2: Convert to fraction form
    2,948.40/4,433.40 = 2,473.20/x
  3. Step 3: Cross multiply
    2,948.40x = 4,433.40 × 2,473.20
  4. Step 4: Simplify right side
    2,948.40x = 10,964,684.88
  5. Step 5: Solve for x
    x = 10,964,684.88/2,948.40
  6. Step 6: Final answer
    x = 3,718.86

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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.