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Finding the Fourth Proportional to 2,104.82, 3,157.59 and 718.30

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Solution

The fourth proportional to 2,104.82, 3,157.59 and 718.30 is: 1,077.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.82 : 3,157.59 = 718.30 : x
  2. Step 2: Convert to fraction form
    2,104.82/3,157.59 = 718.30/x
  3. Step 3: Cross multiply
    2,104.82x = 3,157.59 × 718.30
  4. Step 4: Simplify right side
    2,104.82x = 2,268,081.11
  5. Step 5: Solve for x
    x = 2,268,081.11/2,104.82
  6. Step 6: Final answer
    x = 1,077.57

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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.