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Finding the Fourth Proportional to 1,486.49, 2,049.45 and 1,219.95

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Solution

The fourth proportional to 1,486.49, 2,049.45 and 1,219.95 is: 1,681.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.49 : 2,049.45 = 1,219.95 : x
  2. Step 2: Convert to fraction form
    1,486.49/2,049.45 = 1,219.95/x
  3. Step 3: Cross multiply
    1,486.49x = 2,049.45 × 1,219.95
  4. Step 4: Simplify right side
    1,486.49x = 2,500,226.53
  5. Step 5: Solve for x
    x = 2,500,226.53/1,486.49
  6. Step 6: Final answer
    x = 1,681.97

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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.