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Finding the Fourth Proportional to 2,859.77, 4,286.72 and 1,215.47

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Solution

The fourth proportional to 2,859.77, 4,286.72 and 1,215.47 is: 1,821.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.77 : 4,286.72 = 1,215.47 : x
  2. Step 2: Convert to fraction form
    2,859.77/4,286.72 = 1,215.47/x
  3. Step 3: Cross multiply
    2,859.77x = 4,286.72 × 1,215.47
  4. Step 4: Simplify right side
    2,859.77x = 5,210,393.31
  5. Step 5: Solve for x
    x = 5,210,393.31/2,859.77
  6. Step 6: Final answer
    x = 1,821.96

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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.