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Finding the Fourth Proportional to 2,498.98, 3,748.38 and 650.12

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Solution

The fourth proportional to 2,498.98, 3,748.38 and 650.12 is: 975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.98 : 3,748.38 = 650.12 : x
  2. Step 2: Convert to fraction form
    2,498.98/3,748.38 = 650.12/x
  3. Step 3: Cross multiply
    2,498.98x = 3,748.38 × 650.12
  4. Step 4: Simplify right side
    2,498.98x = 2,436,896.81
  5. Step 5: Solve for x
    x = 2,436,896.81/2,498.98
  6. Step 6: Final answer
    x = 975.16

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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.