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Finding the Fourth Proportional to 2,498.36, 3,742.65 and 2,151.68

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Solution

The fourth proportional to 2,498.36, 3,742.65 and 2,151.68 is: 3,223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.36 : 3,742.65 = 2,151.68 : x
  2. Step 2: Convert to fraction form
    2,498.36/3,742.65 = 2,151.68/x
  3. Step 3: Cross multiply
    2,498.36x = 3,742.65 × 2,151.68
  4. Step 4: Simplify right side
    2,498.36x = 8,052,966.44
  5. Step 5: Solve for x
    x = 8,052,966.44/2,498.36
  6. Step 6: Final answer
    x = 3,223.31

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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.