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Finding the Fourth Proportional to 2,286.81, 3,155.63 and 1,499.49

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Solution

The fourth proportional to 2,286.81, 3,155.63 and 1,499.49 is: 2,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.81 : 3,155.63 = 1,499.49 : x
  2. Step 2: Convert to fraction form
    2,286.81/3,155.63 = 1,499.49/x
  3. Step 3: Cross multiply
    2,286.81x = 3,155.63 × 1,499.49
  4. Step 4: Simplify right side
    2,286.81x = 4,731,828.13
  5. Step 5: Solve for x
    x = 4,731,828.13/2,286.81
  6. Step 6: Final answer
    x = 2,069.18

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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.