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Finding the Fourth Proportional to 2,103.43, 2,902.74 and 1,159.27

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Solution

The fourth proportional to 2,103.43, 2,902.74 and 1,159.27 is: 1,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.43 : 2,902.74 = 1,159.27 : x
  2. Step 2: Convert to fraction form
    2,103.43/2,902.74 = 1,159.27/x
  3. Step 3: Cross multiply
    2,103.43x = 2,902.74 × 1,159.27
  4. Step 4: Simplify right side
    2,103.43x = 3,365,059.40
  5. Step 5: Solve for x
    x = 3,365,059.40/2,103.43
  6. Step 6: Final answer
    x = 1,599.80

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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.