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Finding the Fourth Proportional to 2,401.64, 3,314.29 and 1,353.71

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Solution

The fourth proportional to 2,401.64, 3,314.29 and 1,353.71 is: 1,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.64 : 3,314.29 = 1,353.71 : x
  2. Step 2: Convert to fraction form
    2,401.64/3,314.29 = 1,353.71/x
  3. Step 3: Cross multiply
    2,401.64x = 3,314.29 × 1,353.71
  4. Step 4: Simplify right side
    2,401.64x = 4,486,567.56
  5. Step 5: Solve for x
    x = 4,486,567.56/2,401.64
  6. Step 6: Final answer
    x = 1,868.12

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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.