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Finding the Fourth Proportional to 1,964.47, 2,711.42 and 1,264.63

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Solution

The fourth proportional to 1,964.47, 2,711.42 and 1,264.63 is: 1,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.47 : 2,711.42 = 1,264.63 : x
  2. Step 2: Convert to fraction form
    1,964.47/2,711.42 = 1,264.63/x
  3. Step 3: Cross multiply
    1,964.47x = 2,711.42 × 1,264.63
  4. Step 4: Simplify right side
    1,964.47x = 3,428,943.07
  5. Step 5: Solve for x
    x = 3,428,943.07/1,964.47
  6. Step 6: Final answer
    x = 1,745.48

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Why These Related Problems?

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