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Finding the Fourth Proportional to 1,521.66, 2,099.61 and 892.17

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Solution

The fourth proportional to 1,521.66, 2,099.61 and 892.17 is: 1,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.66 : 2,099.61 = 892.17 : x
  2. Step 2: Convert to fraction form
    1,521.66/2,099.61 = 892.17/x
  3. Step 3: Cross multiply
    1,521.66x = 2,099.61 × 892.17
  4. Step 4: Simplify right side
    1,521.66x = 1,873,209.05
  5. Step 5: Solve for x
    x = 1,873,209.05/1,521.66
  6. Step 6: Final answer
    x = 1,231.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.