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Finding the Fourth Proportional to 2,948.88, 4,417.08 and 2,020.08

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Solution

The fourth proportional to 2,948.88, 4,417.08 and 2,020.08 is: 3,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.88 : 4,417.08 = 2,020.08 : x
  2. Step 2: Convert to fraction form
    2,948.88/4,417.08 = 2,020.08/x
  3. Step 3: Cross multiply
    2,948.88x = 4,417.08 × 2,020.08
  4. Step 4: Simplify right side
    2,948.88x = 8,922,854.97
  5. Step 5: Solve for x
    x = 8,922,854.97/2,948.88
  6. Step 6: Final answer
    x = 3,025.85

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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.