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Finding the Fourth Proportional to 1,881.92, 2,822.70 and 583.25

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Solution

The fourth proportional to 1,881.92, 2,822.70 and 583.25 is: 874.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.92 : 2,822.70 = 583.25 : x
  2. Step 2: Convert to fraction form
    1,881.92/2,822.70 = 583.25/x
  3. Step 3: Cross multiply
    1,881.92x = 2,822.70 × 583.25
  4. Step 4: Simplify right side
    1,881.92x = 1,646,339.78
  5. Step 5: Solve for x
    x = 1,646,339.78/1,881.92
  6. Step 6: Final answer
    x = 874.82

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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.