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Finding the Fourth Proportional to 2,411.08, 3,616.57 and 767.63

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Solution

The fourth proportional to 2,411.08, 3,616.57 and 767.63 is: 1,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.08 : 3,616.57 = 767.63 : x
  2. Step 2: Convert to fraction form
    2,411.08/3,616.57 = 767.63/x
  3. Step 3: Cross multiply
    2,411.08x = 3,616.57 × 767.63
  4. Step 4: Simplify right side
    2,411.08x = 2,776,187.63
  5. Step 5: Solve for x
    x = 2,776,187.63/2,411.08
  6. Step 6: Final answer
    x = 1,151.43

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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.