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Finding the Fourth Proportional to 2,411.33, 3,616.93 and 767.84

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Solution

The fourth proportional to 2,411.33, 3,616.93 and 767.84 is: 1,151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.33 : 3,616.93 = 767.84 : x
  2. Step 2: Convert to fraction form
    2,411.33/3,616.93 = 767.84/x
  3. Step 3: Cross multiply
    2,411.33x = 3,616.93 × 767.84
  4. Step 4: Simplify right side
    2,411.33x = 2,777,219.69
  5. Step 5: Solve for x
    x = 2,777,219.69/2,411.33
  6. Step 6: Final answer
    x = 1,151.74

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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.