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Finding the Fourth Proportional to 2,484.71, 3,428.78 and 1,422.42

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Solution

The fourth proportional to 2,484.71, 3,428.78 and 1,422.42 is: 1,962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.71 : 3,428.78 = 1,422.42 : x
  2. Step 2: Convert to fraction form
    2,484.71/3,428.78 = 1,422.42/x
  3. Step 3: Cross multiply
    2,484.71x = 3,428.78 × 1,422.42
  4. Step 4: Simplify right side
    2,484.71x = 4,877,158.14
  5. Step 5: Solve for x
    x = 4,877,158.14/2,484.71
  6. Step 6: Final answer
    x = 1,962.87

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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.