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Finding the Fourth Proportional to 1,884, 2,822.34 and 1,389.50

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Solution

The fourth proportional to 1,884, 2,822.34 and 1,389.50 is: 2,081.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884 : 2,822.34 = 1,389.50 : x
  2. Step 2: Convert to fraction form
    1,884/2,822.34 = 1,389.50/x
  3. Step 3: Cross multiply
    1,884x = 2,822.34 × 1,389.50
  4. Step 4: Simplify right side
    1,884x = 3,921,641.43
  5. Step 5: Solve for x
    x = 3,921,641.43/1,884
  6. Step 6: Final answer
    x = 2,081.55

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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.