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Finding the Fourth Proportional to 2,498.51, 3,748.41 and 855.16

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Solution

The fourth proportional to 2,498.51, 3,748.41 and 855.16 is: 1,282.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.51 : 3,748.41 = 855.16 : x
  2. Step 2: Convert to fraction form
    2,498.51/3,748.41 = 855.16/x
  3. Step 3: Cross multiply
    2,498.51x = 3,748.41 × 855.16
  4. Step 4: Simplify right side
    2,498.51x = 3,205,480.92
  5. Step 5: Solve for x
    x = 3,205,480.92/2,498.51
  6. Step 6: Final answer
    x = 1,282.96

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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.