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Finding the Fourth Proportional to 2,854.90, 4,282.96 and 1,212.22

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Solution

The fourth proportional to 2,854.90, 4,282.96 and 1,212.22 is: 1,818.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.90 : 4,282.96 = 1,212.22 : x
  2. Step 2: Convert to fraction form
    2,854.90/4,282.96 = 1,212.22/x
  3. Step 3: Cross multiply
    2,854.90x = 4,282.96 × 1,212.22
  4. Step 4: Simplify right side
    2,854.90x = 5,191,889.77
  5. Step 5: Solve for x
    x = 5,191,889.77/2,854.90
  6. Step 6: Final answer
    x = 1,818.59

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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.