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Finding the Fourth Proportional to 2,851.96, 4,278.91 and 1,798.57

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Solution

The fourth proportional to 2,851.96, 4,278.91 and 1,798.57 is: 2,698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.96 : 4,278.91 = 1,798.57 : x
  2. Step 2: Convert to fraction form
    2,851.96/4,278.91 = 1,798.57/x
  3. Step 3: Cross multiply
    2,851.96x = 4,278.91 × 1,798.57
  4. Step 4: Simplify right side
    2,851.96x = 7,695,919.16
  5. Step 5: Solve for x
    x = 7,695,919.16/2,851.96
  6. Step 6: Final answer
    x = 2,698.47

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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.