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Finding the Fourth Proportional to 2,411.32, 3,617.40 and 767.92

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Solution

The fourth proportional to 2,411.32, 3,617.40 and 767.92 is: 1,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.32 : 3,617.40 = 767.92 : x
  2. Step 2: Convert to fraction form
    2,411.32/3,617.40 = 767.92/x
  3. Step 3: Cross multiply
    2,411.32x = 3,617.40 × 767.92
  4. Step 4: Simplify right side
    2,411.32x = 2,777,873.81
  5. Step 5: Solve for x
    x = 2,777,873.81/2,411.32
  6. Step 6: Final answer
    x = 1,152.01

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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.