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Finding the Fourth Proportional to 2,464.59, 3,401.01 and 1,627.05

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Solution

The fourth proportional to 2,464.59, 3,401.01 and 1,627.05 is: 2,245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.59 : 3,401.01 = 1,627.05 : x
  2. Step 2: Convert to fraction form
    2,464.59/3,401.01 = 1,627.05/x
  3. Step 3: Cross multiply
    2,464.59x = 3,401.01 × 1,627.05
  4. Step 4: Simplify right side
    2,464.59x = 5,533,613.32
  5. Step 5: Solve for x
    x = 5,533,613.32/2,464.59
  6. Step 6: Final answer
    x = 2,245.25

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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.