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Finding the Fourth Proportional to 3,189.98, 4,402.10 and 1,792.74

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Solution

The fourth proportional to 3,189.98, 4,402.10 and 1,792.74 is: 2,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.98 : 4,402.10 = 1,792.74 : x
  2. Step 2: Convert to fraction form
    3,189.98/4,402.10 = 1,792.74/x
  3. Step 3: Cross multiply
    3,189.98x = 4,402.10 × 1,792.74
  4. Step 4: Simplify right side
    3,189.98x = 7,891,820.75
  5. Step 5: Solve for x
    x = 7,891,820.75/3,189.98
  6. Step 6: Final answer
    x = 2,473.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.