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Finding the Fourth Proportional to 2,464.72, 3,400.68 and 1,636.72

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Solution

The fourth proportional to 2,464.72, 3,400.68 and 1,636.72 is: 2,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.72 : 3,400.68 = 1,636.72 : x
  2. Step 2: Convert to fraction form
    2,464.72/3,400.68 = 1,636.72/x
  3. Step 3: Cross multiply
    2,464.72x = 3,400.68 × 1,636.72
  4. Step 4: Simplify right side
    2,464.72x = 5,565,960.97
  5. Step 5: Solve for x
    x = 5,565,960.97/2,464.72
  6. Step 6: Final answer
    x = 2,258.25

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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.