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Finding the Fourth Proportional to 3,003.90, 4,504.50 and 1,948.02

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Solution

The fourth proportional to 3,003.90, 4,504.50 and 1,948.02 is: 2,921.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.90 : 4,504.50 = 1,948.02 : x
  2. Step 2: Convert to fraction form
    3,003.90/4,504.50 = 1,948.02/x
  3. Step 3: Cross multiply
    3,003.90x = 4,504.50 × 1,948.02
  4. Step 4: Simplify right side
    3,003.90x = 8,774,856.09
  5. Step 5: Solve for x
    x = 8,774,856.09/3,003.90
  6. Step 6: Final answer
    x = 2,921.15

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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.