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Finding the Fourth Proportional to 2,851.75, 4,278.17 and 1,312.75

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Solution

The fourth proportional to 2,851.75, 4,278.17 and 1,312.75 is: 1,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.75 : 4,278.17 = 1,312.75 : x
  2. Step 2: Convert to fraction form
    2,851.75/4,278.17 = 1,312.75/x
  3. Step 3: Cross multiply
    2,851.75x = 4,278.17 × 1,312.75
  4. Step 4: Simplify right side
    2,851.75x = 5,616,167.67
  5. Step 5: Solve for x
    x = 5,616,167.67/2,851.75
  6. Step 6: Final answer
    x = 1,969.38

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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.