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Finding the Fourth Proportional to 3,423.76, 4,722.44 and 2,098.13

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Solution

The fourth proportional to 3,423.76, 4,722.44 and 2,098.13 is: 2,893.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.76 : 4,722.44 = 2,098.13 : x
  2. Step 2: Convert to fraction form
    3,423.76/4,722.44 = 2,098.13/x
  3. Step 3: Cross multiply
    3,423.76x = 4,722.44 × 2,098.13
  4. Step 4: Simplify right side
    3,423.76x = 9,908,258.93
  5. Step 5: Solve for x
    x = 9,908,258.93/3,423.76
  6. Step 6: Final answer
    x = 2,893.97

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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.