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Finding the Fourth Proportional to 2,818.32, 3,888.92 and 1,639.56

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Solution

The fourth proportional to 2,818.32, 3,888.92 and 1,639.56 is: 2,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.32 : 3,888.92 = 1,639.56 : x
  2. Step 2: Convert to fraction form
    2,818.32/3,888.92 = 1,639.56/x
  3. Step 3: Cross multiply
    2,818.32x = 3,888.92 × 1,639.56
  4. Step 4: Simplify right side
    2,818.32x = 6,376,117.68
  5. Step 5: Solve for x
    x = 6,376,117.68/2,818.32
  6. Step 6: Final answer
    x = 2,262.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.