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Finding the Fourth Proportional to 2,419.65, 3,340.02 and 1,424.97

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Solution

The fourth proportional to 2,419.65, 3,340.02 and 1,424.97 is: 1,966.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.65 : 3,340.02 = 1,424.97 : x
  2. Step 2: Convert to fraction form
    2,419.65/3,340.02 = 1,424.97/x
  3. Step 3: Cross multiply
    2,419.65x = 3,340.02 × 1,424.97
  4. Step 4: Simplify right side
    2,419.65x = 4,759,428.30
  5. Step 5: Solve for x
    x = 4,759,428.30/2,419.65
  6. Step 6: Final answer
    x = 1,966.99

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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.