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Finding the Fourth Proportional to 2,498.37, 3,748.04 and 959.25

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Solution

The fourth proportional to 2,498.37, 3,748.04 and 959.25 is: 1,439.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.37 : 3,748.04 = 959.25 : x
  2. Step 2: Convert to fraction form
    2,498.37/3,748.04 = 959.25/x
  3. Step 3: Cross multiply
    2,498.37x = 3,748.04 × 959.25
  4. Step 4: Simplify right side
    2,498.37x = 3,595,302.57
  5. Step 5: Solve for x
    x = 3,595,302.57/2,498.37
  6. Step 6: Final answer
    x = 1,439.06

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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.