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Finding the Fourth Proportional to 2,103.10, 2,902.12 and 1,218.74

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Solution

The fourth proportional to 2,103.10, 2,902.12 and 1,218.74 is: 1,681.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.10 : 2,902.12 = 1,218.74 : x
  2. Step 2: Convert to fraction form
    2,103.10/2,902.12 = 1,218.74/x
  3. Step 3: Cross multiply
    2,103.10x = 2,902.12 × 1,218.74
  4. Step 4: Simplify right side
    2,103.10x = 3,536,912.17
  5. Step 5: Solve for x
    x = 3,536,912.17/2,103.10
  6. Step 6: Final answer
    x = 1,681.76

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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.