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Finding the Fourth Proportional to 1,521.08, 2,099.12 and 892.06

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Solution

The fourth proportional to 1,521.08, 2,099.12 and 892.06 is: 1,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.08 : 2,099.12 = 892.06 : x
  2. Step 2: Convert to fraction form
    1,521.08/2,099.12 = 892.06/x
  3. Step 3: Cross multiply
    1,521.08x = 2,099.12 × 892.06
  4. Step 4: Simplify right side
    1,521.08x = 1,872,548.10
  5. Step 5: Solve for x
    x = 1,872,548.10/1,521.08
  6. Step 6: Final answer
    x = 1,231.06

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