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Finding the Fourth Proportional to 2,498.42, 3,749.10 and 1,111.82

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Solution

The fourth proportional to 2,498.42, 3,749.10 and 1,111.82 is: 1,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.42 : 3,749.10 = 1,111.82 : x
  2. Step 2: Convert to fraction form
    2,498.42/3,749.10 = 1,111.82/x
  3. Step 3: Cross multiply
    2,498.42x = 3,749.10 × 1,111.82
  4. Step 4: Simplify right side
    2,498.42x = 4,168,324.36
  5. Step 5: Solve for x
    x = 4,168,324.36/2,498.42
  6. Step 6: Final answer
    x = 1,668.38

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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.