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Finding the Fourth Proportional to 2,401.60, 3,314.22 and 1,353.64

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Solution

The fourth proportional to 2,401.60, 3,314.22 and 1,353.64 is: 1,868.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.60 : 3,314.22 = 1,353.64 : x
  2. Step 2: Convert to fraction form
    2,401.60/3,314.22 = 1,353.64/x
  3. Step 3: Cross multiply
    2,401.60x = 3,314.22 × 1,353.64
  4. Step 4: Simplify right side
    2,401.60x = 4,486,260.76
  5. Step 5: Solve for x
    x = 4,486,260.76/2,401.60
  6. Step 6: Final answer
    x = 1,868.03

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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.