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Finding the Fourth Proportional to 2,187.92, 3,018.14 and 1,523.64

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Solution

The fourth proportional to 2,187.92, 3,018.14 and 1,523.64 is: 2,101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.92 : 3,018.14 = 1,523.64 : x
  2. Step 2: Convert to fraction form
    2,187.92/3,018.14 = 1,523.64/x
  3. Step 3: Cross multiply
    2,187.92x = 3,018.14 × 1,523.64
  4. Step 4: Simplify right side
    2,187.92x = 4,598,558.83
  5. Step 5: Solve for x
    x = 4,598,558.83/2,187.92
  6. Step 6: Final answer
    x = 2,101.79

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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.