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Finding the Fourth Proportional to 1,849.62, 2,552.88 and 1,259.74

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Solution

The fourth proportional to 1,849.62, 2,552.88 and 1,259.74 is: 1,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.62 : 2,552.88 = 1,259.74 : x
  2. Step 2: Convert to fraction form
    1,849.62/2,552.88 = 1,259.74/x
  3. Step 3: Cross multiply
    1,849.62x = 2,552.88 × 1,259.74
  4. Step 4: Simplify right side
    1,849.62x = 3,215,965.05
  5. Step 5: Solve for x
    x = 3,215,965.05/1,849.62
  6. Step 6: Final answer
    x = 1,738.72

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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.