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Finding the Fourth Proportional to 2,103.80, 2,903.26 and 1,159.61

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Solution

The fourth proportional to 2,103.80, 2,903.26 and 1,159.61 is: 1,600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.80 : 2,903.26 = 1,159.61 : x
  2. Step 2: Convert to fraction form
    2,103.80/2,903.26 = 1,159.61/x
  3. Step 3: Cross multiply
    2,103.80x = 2,903.26 × 1,159.61
  4. Step 4: Simplify right side
    2,103.80x = 3,366,631.91
  5. Step 5: Solve for x
    x = 3,366,631.91/2,103.80
  6. Step 6: Final answer
    x = 1,600.27

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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.