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Finding the Fourth Proportional to 2,859.75, 4,290.26 and 1,217.70

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Solution

The fourth proportional to 2,859.75, 4,290.26 and 1,217.70 is: 1,826.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.75 : 4,290.26 = 1,217.70 : x
  2. Step 2: Convert to fraction form
    2,859.75/4,290.26 = 1,217.70/x
  3. Step 3: Cross multiply
    2,859.75x = 4,290.26 × 1,217.70
  4. Step 4: Simplify right side
    2,859.75x = 5,224,243.51
  5. Step 5: Solve for x
    x = 5,224,243.51/2,859.75
  6. Step 6: Final answer
    x = 1,826.82

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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.