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Finding the Fourth Proportional to 2,278.84, 3,144.72 and 1,396.12

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Solution

The fourth proportional to 2,278.84, 3,144.72 and 1,396.12 is: 1,926.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.84 : 3,144.72 = 1,396.12 : x
  2. Step 2: Convert to fraction form
    2,278.84/3,144.72 = 1,396.12/x
  3. Step 3: Cross multiply
    2,278.84x = 3,144.72 × 1,396.12
  4. Step 4: Simplify right side
    2,278.84x = 4,390,406.49
  5. Step 5: Solve for x
    x = 4,390,406.49/2,278.84
  6. Step 6: Final answer
    x = 1,926.60

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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.