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Finding the Fourth Proportional to 2,401.93, 3,314.62 and 1,353.99

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Solution

The fourth proportional to 2,401.93, 3,314.62 and 1,353.99 is: 1,868.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.93 : 3,314.62 = 1,353.99 : x
  2. Step 2: Convert to fraction form
    2,401.93/3,314.62 = 1,353.99/x
  3. Step 3: Cross multiply
    2,401.93x = 3,314.62 × 1,353.99
  4. Step 4: Simplify right side
    2,401.93x = 4,487,976.46
  5. Step 5: Solve for x
    x = 4,487,976.46/2,401.93
  6. Step 6: Final answer
    x = 1,868.49

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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.