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Finding the Fourth Proportional to 2,785.80, 3,843.59 and 1,590.75

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Solution

The fourth proportional to 2,785.80, 3,843.59 and 1,590.75 is: 2,194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.80 : 3,843.59 = 1,590.75 : x
  2. Step 2: Convert to fraction form
    2,785.80/3,843.59 = 1,590.75/x
  3. Step 3: Cross multiply
    2,785.80x = 3,843.59 × 1,590.75
  4. Step 4: Simplify right side
    2,785.80x = 6,114,182.84
  5. Step 5: Solve for x
    x = 6,114,182.84/2,785.80
  6. Step 6: Final answer
    x = 2,194.76

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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.