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Finding the Fourth Proportional to 1,882.24, 2,823.64 and 583.81

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Solution

The fourth proportional to 1,882.24, 2,823.64 and 583.81 is: 875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.24 : 2,823.64 = 583.81 : x
  2. Step 2: Convert to fraction form
    1,882.24/2,823.64 = 583.81/x
  3. Step 3: Cross multiply
    1,882.24x = 2,823.64 × 583.81
  4. Step 4: Simplify right side
    1,882.24x = 1,648,469.27
  5. Step 5: Solve for x
    x = 1,648,469.27/1,882.24
  6. Step 6: Final answer
    x = 875.80

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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.