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Finding the Fourth Proportional to 2,498.42, 3,764.48 and 2,233.10

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Solution

The fourth proportional to 2,498.42, 3,764.48 and 2,233.10 is: 3,364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.42 : 3,764.48 = 2,233.10 : x
  2. Step 2: Convert to fraction form
    2,498.42/3,764.48 = 2,233.10/x
  3. Step 3: Cross multiply
    2,498.42x = 3,764.48 × 2,233.10
  4. Step 4: Simplify right side
    2,498.42x = 8,406,460.29
  5. Step 5: Solve for x
    x = 8,406,460.29/2,498.42
  6. Step 6: Final answer
    x = 3,364.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.