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Finding the Fourth Proportional to 2,103.67, 2,902.93 and 1,263.88

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Solution

The fourth proportional to 2,103.67, 2,902.93 and 1,263.88 is: 1,744.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.67 : 2,902.93 = 1,263.88 : x
  2. Step 2: Convert to fraction form
    2,103.67/2,902.93 = 1,263.88/x
  3. Step 3: Cross multiply
    2,103.67x = 2,902.93 × 1,263.88
  4. Step 4: Simplify right side
    2,103.67x = 3,668,934.33
  5. Step 5: Solve for x
    x = 3,668,934.33/2,103.67
  6. Step 6: Final answer
    x = 1,744.06

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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.