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Finding the Fourth Proportional to 2,851.47, 4,275.99 and 1,207.17

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Solution

The fourth proportional to 2,851.47, 4,275.99 and 1,207.17 is: 1,810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.47 : 4,275.99 = 1,207.17 : x
  2. Step 2: Convert to fraction form
    2,851.47/4,275.99 = 1,207.17/x
  3. Step 3: Cross multiply
    2,851.47x = 4,275.99 × 1,207.17
  4. Step 4: Simplify right side
    2,851.47x = 5,161,846.85
  5. Step 5: Solve for x
    x = 5,161,846.85/2,851.47
  6. Step 6: Final answer
    x = 1,810.24

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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.