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Finding the Fourth Proportional to 2,043.81, 3,065.73 and 582.98

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Solution

The fourth proportional to 2,043.81, 3,065.73 and 582.98 is: 874.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.81 : 3,065.73 = 582.98 : x
  2. Step 2: Convert to fraction form
    2,043.81/3,065.73 = 582.98/x
  3. Step 3: Cross multiply
    2,043.81x = 3,065.73 × 582.98
  4. Step 4: Simplify right side
    2,043.81x = 1,787,243.95
  5. Step 5: Solve for x
    x = 1,787,243.95/2,043.81
  6. Step 6: Final answer
    x = 874.47

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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.