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Finding the Fourth Proportional to 2,402.33, 3,314.06 and 1,406.99

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Solution

The fourth proportional to 2,402.33, 3,314.06 and 1,406.99 is: 1,940.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.33 : 3,314.06 = 1,406.99 : x
  2. Step 2: Convert to fraction form
    2,402.33/3,314.06 = 1,406.99/x
  3. Step 3: Cross multiply
    2,402.33x = 3,314.06 × 1,406.99
  4. Step 4: Simplify right side
    2,402.33x = 4,662,849.28
  5. Step 5: Solve for x
    x = 4,662,849.28/2,402.33
  6. Step 6: Final answer
    x = 1,940.97

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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.