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Finding the Fourth Proportional to 2,305.40, 3,458.10 and 2,103.80

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Solution

The fourth proportional to 2,305.40, 3,458.10 and 2,103.80 is: 3,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.40 : 3,458.10 = 2,103.80 : x
  2. Step 2: Convert to fraction form
    2,305.40/3,458.10 = 2,103.80/x
  3. Step 3: Cross multiply
    2,305.40x = 3,458.10 × 2,103.80
  4. Step 4: Simplify right side
    2,305.40x = 7,275,150.78
  5. Step 5: Solve for x
    x = 7,275,150.78/2,305.40
  6. Step 6: Final answer
    x = 3,155.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.