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Finding the Fourth Proportional to 2,411.04, 3,616.92 and 767.10

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Solution

The fourth proportional to 2,411.04, 3,616.92 and 767.10 is: 1,150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.04 : 3,616.92 = 767.10 : x
  2. Step 2: Convert to fraction form
    2,411.04/3,616.92 = 767.10/x
  3. Step 3: Cross multiply
    2,411.04x = 3,616.92 × 767.10
  4. Step 4: Simplify right side
    2,411.04x = 2,774,539.33
  5. Step 5: Solve for x
    x = 2,774,539.33/2,411.04
  6. Step 6: Final answer
    x = 1,150.76

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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.