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Finding the Fourth Proportional to 2,981.90, 4,119.03 and 2,291.90

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Solution

The fourth proportional to 2,981.90, 4,119.03 and 2,291.90 is: 3,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.90 : 4,119.03 = 2,291.90 : x
  2. Step 2: Convert to fraction form
    2,981.90/4,119.03 = 2,291.90/x
  3. Step 3: Cross multiply
    2,981.90x = 4,119.03 × 2,291.90
  4. Step 4: Simplify right side
    2,981.90x = 9,440,404.86
  5. Step 5: Solve for x
    x = 9,440,404.86/2,981.90
  6. Step 6: Final answer
    x = 3,165.90

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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.