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Finding the Fourth Proportional to 1,582.87, 2,375.09 and 761.84

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Solution

The fourth proportional to 1,582.87, 2,375.09 and 761.84 is: 1,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.87 : 2,375.09 = 761.84 : x
  2. Step 2: Convert to fraction form
    1,582.87/2,375.09 = 761.84/x
  3. Step 3: Cross multiply
    1,582.87x = 2,375.09 × 761.84
  4. Step 4: Simplify right side
    1,582.87x = 1,809,438.57
  5. Step 5: Solve for x
    x = 1,809,438.57/1,582.87
  6. Step 6: Final answer
    x = 1,143.14

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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.