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Finding the Fourth Proportional to 2,859.58, 4,290.81 and 1,129.42

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Solution

The fourth proportional to 2,859.58, 4,290.81 and 1,129.42 is: 1,694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.58 : 4,290.81 = 1,129.42 : x
  2. Step 2: Convert to fraction form
    2,859.58/4,290.81 = 1,129.42/x
  3. Step 3: Cross multiply
    2,859.58x = 4,290.81 × 1,129.42
  4. Step 4: Simplify right side
    2,859.58x = 4,846,126.63
  5. Step 5: Solve for x
    x = 4,846,126.63/2,859.58
  6. Step 6: Final answer
    x = 1,694.70

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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.