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Finding the Fourth Proportional to 1,884.81, 2,826.92 and 1,335.33

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Solution

The fourth proportional to 1,884.81, 2,826.92 and 1,335.33 is: 2,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.81 : 2,826.92 = 1,335.33 : x
  2. Step 2: Convert to fraction form
    1,884.81/2,826.92 = 1,335.33/x
  3. Step 3: Cross multiply
    1,884.81x = 2,826.92 × 1,335.33
  4. Step 4: Simplify right side
    1,884.81x = 3,774,864.41
  5. Step 5: Solve for x
    x = 3,774,864.41/1,884.81
  6. Step 6: Final answer
    x = 2,002.78

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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.