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Finding the Fourth Proportional to 2,464.34, 3,700.17 and 2,420.60

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Solution

The fourth proportional to 2,464.34, 3,700.17 and 2,420.60 is: 3,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.34 : 3,700.17 = 2,420.60 : x
  2. Step 2: Convert to fraction form
    2,464.34/3,700.17 = 2,420.60/x
  3. Step 3: Cross multiply
    2,464.34x = 3,700.17 × 2,420.60
  4. Step 4: Simplify right side
    2,464.34x = 8,956,613.00
  5. Step 5: Solve for x
    x = 8,956,613.00/2,464.34
  6. Step 6: Final answer
    x = 3,634.49

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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.