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Finding the Fourth Proportional to 2,401.70, 3,597.15 and 1,462.10

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Solution

The fourth proportional to 2,401.70, 3,597.15 and 1,462.10 is: 2,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.70 : 3,597.15 = 1,462.10 : x
  2. Step 2: Convert to fraction form
    2,401.70/3,597.15 = 1,462.10/x
  3. Step 3: Cross multiply
    2,401.70x = 3,597.15 × 1,462.10
  4. Step 4: Simplify right side
    2,401.70x = 5,259,393.02
  5. Step 5: Solve for x
    x = 5,259,393.02/2,401.70
  6. Step 6: Final answer
    x = 2,189.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.