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Finding the Fourth Proportional to 1,643.07, 2,264.92 and 1,310.97

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Solution

The fourth proportional to 1,643.07, 2,264.92 and 1,310.97 is: 1,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.07 : 2,264.92 = 1,310.97 : x
  2. Step 2: Convert to fraction form
    1,643.07/2,264.92 = 1,310.97/x
  3. Step 3: Cross multiply
    1,643.07x = 2,264.92 × 1,310.97
  4. Step 4: Simplify right side
    1,643.07x = 2,969,238.89
  5. Step 5: Solve for x
    x = 2,969,238.89/1,643.07
  6. Step 6: Final answer
    x = 1,807.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.