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Finding the Fourth Proportional to 2,399.40, 3,305.34 and 2,000.88

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Solution

The fourth proportional to 2,399.40, 3,305.34 and 2,000.88 is: 2,756.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.40 : 3,305.34 = 2,000.88 : x
  2. Step 2: Convert to fraction form
    2,399.40/3,305.34 = 2,000.88/x
  3. Step 3: Cross multiply
    2,399.40x = 3,305.34 × 2,000.88
  4. Step 4: Simplify right side
    2,399.40x = 6,613,588.70
  5. Step 5: Solve for x
    x = 6,613,588.70/2,399.40
  6. Step 6: Final answer
    x = 2,756.35

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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.