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Finding the Fourth Proportional to 1,486.92, 2,055.88 and 1,463.56

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Solution

The fourth proportional to 1,486.92, 2,055.88 and 1,463.56 is: 2,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.92 : 2,055.88 = 1,463.56 : x
  2. Step 2: Convert to fraction form
    1,486.92/2,055.88 = 1,463.56/x
  3. Step 3: Cross multiply
    1,486.92x = 2,055.88 × 1,463.56
  4. Step 4: Simplify right side
    1,486.92x = 3,008,903.73
  5. Step 5: Solve for x
    x = 3,008,903.73/1,486.92
  6. Step 6: Final answer
    x = 2,023.58

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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.