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Finding the Fourth Proportional to 2,473.95, 3,414.36 and 1,426.02

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Solution

The fourth proportional to 2,473.95, 3,414.36 and 1,426.02 is: 1,968.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.95 : 3,414.36 = 1,426.02 : x
  2. Step 2: Convert to fraction form
    2,473.95/3,414.36 = 1,426.02/x
  3. Step 3: Cross multiply
    2,473.95x = 3,414.36 × 1,426.02
  4. Step 4: Simplify right side
    2,473.95x = 4,868,945.65
  5. Step 5: Solve for x
    x = 4,868,945.65/2,473.95
  6. Step 6: Final answer
    x = 1,968.09

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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.