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Finding the Fourth Proportional to 3,119.34, 4,304.91 and 2,000.22

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Solution

The fourth proportional to 3,119.34, 4,304.91 and 2,000.22 is: 2,760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.34 : 4,304.91 = 2,000.22 : x
  2. Step 2: Convert to fraction form
    3,119.34/4,304.91 = 2,000.22/x
  3. Step 3: Cross multiply
    3,119.34x = 4,304.91 × 2,000.22
  4. Step 4: Simplify right side
    3,119.34x = 8,610,767.08
  5. Step 5: Solve for x
    x = 8,610,767.08/3,119.34
  6. Step 6: Final answer
    x = 2,760.45

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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.