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Finding the Fourth Proportional to 1,882.45, 2,823.81 and 583.87

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Solution

The fourth proportional to 1,882.45, 2,823.81 and 583.87 is: 875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.45 : 2,823.81 = 583.87 : x
  2. Step 2: Convert to fraction form
    1,882.45/2,823.81 = 583.87/x
  3. Step 3: Cross multiply
    1,882.45x = 2,823.81 × 583.87
  4. Step 4: Simplify right side
    1,882.45x = 1,648,737.94
  5. Step 5: Solve for x
    x = 1,648,737.94/1,882.45
  6. Step 6: Final answer
    x = 875.85

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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.