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Finding the Fourth Proportional to 2,401.87, 3,314.47 and 1,353.93

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Solution

The fourth proportional to 2,401.87, 3,314.47 and 1,353.93 is: 1,868.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.87 : 3,314.47 = 1,353.93 : x
  2. Step 2: Convert to fraction form
    2,401.87/3,314.47 = 1,353.93/x
  3. Step 3: Cross multiply
    2,401.87x = 3,314.47 × 1,353.93
  4. Step 4: Simplify right side
    2,401.87x = 4,487,553.60
  5. Step 5: Solve for x
    x = 4,487,553.60/2,401.87
  6. Step 6: Final answer
    x = 1,868.36

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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.