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Finding the Fourth Proportional to 2,144.95, 2,959.72 and 1,200.69

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Solution

The fourth proportional to 2,144.95, 2,959.72 and 1,200.69 is: 1,656.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.95 : 2,959.72 = 1,200.69 : x
  2. Step 2: Convert to fraction form
    2,144.95/2,959.72 = 1,200.69/x
  3. Step 3: Cross multiply
    2,144.95x = 2,959.72 × 1,200.69
  4. Step 4: Simplify right side
    2,144.95x = 3,553,703.21
  5. Step 5: Solve for x
    x = 3,553,703.21/2,144.95
  6. Step 6: Final answer
    x = 1,656.78

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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.