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Finding the Fourth Proportional to 2,043.57, 3,065.87 and 582.74

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Solution

The fourth proportional to 2,043.57, 3,065.87 and 582.74 is: 874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.57 : 3,065.87 = 582.74 : x
  2. Step 2: Convert to fraction form
    2,043.57/3,065.87 = 582.74/x
  3. Step 3: Cross multiply
    2,043.57x = 3,065.87 × 582.74
  4. Step 4: Simplify right side
    2,043.57x = 1,786,586.84
  5. Step 5: Solve for x
    x = 1,786,586.84/2,043.57
  6. Step 6: Final answer
    x = 874.25

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Why These Related Problems?

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