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Finding the Fourth Proportional to 1,959.52, 2,700.84 and 1,259.68

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Solution

The fourth proportional to 1,959.52, 2,700.84 and 1,259.68 is: 1,736.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.52 : 2,700.84 = 1,259.68 : x
  2. Step 2: Convert to fraction form
    1,959.52/2,700.84 = 1,259.68/x
  3. Step 3: Cross multiply
    1,959.52x = 2,700.84 × 1,259.68
  4. Step 4: Simplify right side
    1,959.52x = 3,402,194.13
  5. Step 5: Solve for x
    x = 3,402,194.13/1,959.52
  6. Step 6: Final answer
    x = 1,736.24

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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.