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Finding the Fourth Proportional to 2,449.83, 3,674.94 and 718.59

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Solution

The fourth proportional to 2,449.83, 3,674.94 and 718.59 is: 1,077.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.83 : 3,674.94 = 718.59 : x
  2. Step 2: Convert to fraction form
    2,449.83/3,674.94 = 718.59/x
  3. Step 3: Cross multiply
    2,449.83x = 3,674.94 × 718.59
  4. Step 4: Simplify right side
    2,449.83x = 2,640,775.13
  5. Step 5: Solve for x
    x = 2,640,775.13/2,449.83
  6. Step 6: Final answer
    x = 1,077.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.