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Finding the Fourth Proportional to 2,043.90, 3,065.82 and 582.86

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Solution

The fourth proportional to 2,043.90, 3,065.82 and 582.86 is: 874.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.90 : 3,065.82 = 582.86 : x
  2. Step 2: Convert to fraction form
    2,043.90/3,065.82 = 582.86/x
  3. Step 3: Cross multiply
    2,043.90x = 3,065.82 × 582.86
  4. Step 4: Simplify right side
    2,043.90x = 1,786,943.85
  5. Step 5: Solve for x
    x = 1,786,943.85/2,043.90
  6. Step 6: Final answer
    x = 874.28

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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.