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Finding the Fourth Proportional to 2,870.82, 4,304.21 and 1,226.52

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Solution

The fourth proportional to 2,870.82, 4,304.21 and 1,226.52 is: 1,838.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.82 : 4,304.21 = 1,226.52 : x
  2. Step 2: Convert to fraction form
    2,870.82/4,304.21 = 1,226.52/x
  3. Step 3: Cross multiply
    2,870.82x = 4,304.21 × 1,226.52
  4. Step 4: Simplify right side
    2,870.82x = 5,279,193.52
  5. Step 5: Solve for x
    x = 5,279,193.52/2,870.82
  6. Step 6: Final answer
    x = 1,838.91

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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.