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Finding the Fourth Proportional to 2,574.16, 3,859.78 and 818.82

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Solution

The fourth proportional to 2,574.16, 3,859.78 and 818.82 is: 1,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.16 : 3,859.78 = 818.82 : x
  2. Step 2: Convert to fraction form
    2,574.16/3,859.78 = 818.82/x
  3. Step 3: Cross multiply
    2,574.16x = 3,859.78 × 818.82
  4. Step 4: Simplify right side
    2,574.16x = 3,160,465.06
  5. Step 5: Solve for x
    x = 3,160,465.06/2,574.16
  6. Step 6: Final answer
    x = 1,227.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.