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Finding the Fourth Proportional to 2,498.64, 3,742.92 and 2,091.84

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Solution

The fourth proportional to 2,498.64, 3,742.92 and 2,091.84 is: 3,133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.64 : 3,742.92 = 2,091.84 : x
  2. Step 2: Convert to fraction form
    2,498.64/3,742.92 = 2,091.84/x
  3. Step 3: Cross multiply
    2,498.64x = 3,742.92 × 2,091.84
  4. Step 4: Simplify right side
    2,498.64x = 7,829,589.77
  5. Step 5: Solve for x
    x = 7,829,589.77/2,498.64
  6. Step 6: Final answer
    x = 3,133.54

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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.