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Finding the Fourth Proportional to 2,498.69, 3,748.11 and 767.32

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Solution

The fourth proportional to 2,498.69, 3,748.11 and 767.32 is: 1,150.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.69 : 3,748.11 = 767.32 : x
  2. Step 2: Convert to fraction form
    2,498.69/3,748.11 = 767.32/x
  3. Step 3: Cross multiply
    2,498.69x = 3,748.11 × 767.32
  4. Step 4: Simplify right side
    2,498.69x = 2,875,977.19
  5. Step 5: Solve for x
    x = 2,875,977.19/2,498.69
  6. Step 6: Final answer
    x = 1,150.99

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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.