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Finding the Fourth Proportional to 2,378.82, 3,568.00 and 818.76

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Solution

The fourth proportional to 2,378.82, 3,568.00 and 818.76 is: 1,228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.82 : 3,568.00 = 818.76 : x
  2. Step 2: Convert to fraction form
    2,378.82/3,568.00 = 818.76/x
  3. Step 3: Cross multiply
    2,378.82x = 3,568.00 × 818.76
  4. Step 4: Simplify right side
    2,378.82x = 2,921,328.48
  5. Step 5: Solve for x
    x = 2,921,328.48/2,378.82
  6. Step 6: Final answer
    x = 1,228.06

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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.