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Finding the Fourth Proportional to 4,241.97, 6,363.90 and 1,320.30

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Solution

The fourth proportional to 4,241.97, 6,363.90 and 1,320.30 is: 1,980.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.97 : 6,363.90 = 1,320.30 : x
  2. Step 2: Convert to fraction form
    4,241.97/6,363.90 = 1,320.30/x
  3. Step 3: Cross multiply
    4,241.97x = 6,363.90 × 1,320.30
  4. Step 4: Simplify right side
    4,241.97x = 8,402,257.17
  5. Step 5: Solve for x
    x = 8,402,257.17/4,241.97
  6. Step 6: Final answer
    x = 1,980.74

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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.