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Finding the Fourth Proportional to 1,969.88, 2,718.24 and 1,260.47

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Solution

The fourth proportional to 1,969.88, 2,718.24 and 1,260.47 is: 1,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.88 : 2,718.24 = 1,260.47 : x
  2. Step 2: Convert to fraction form
    1,969.88/2,718.24 = 1,260.47/x
  3. Step 3: Cross multiply
    1,969.88x = 2,718.24 × 1,260.47
  4. Step 4: Simplify right side
    1,969.88x = 3,426,246.38
  5. Step 5: Solve for x
    x = 3,426,246.38/1,969.88
  6. Step 6: Final answer
    x = 1,739.32

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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.