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Finding the Fourth Proportional to 2,458.97, 3,392.99 and 1,464.22

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Solution

The fourth proportional to 2,458.97, 3,392.99 and 1,464.22 is: 2,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.97 : 3,392.99 = 1,464.22 : x
  2. Step 2: Convert to fraction form
    2,458.97/3,392.99 = 1,464.22/x
  3. Step 3: Cross multiply
    2,458.97x = 3,392.99 × 1,464.22
  4. Step 4: Simplify right side
    2,458.97x = 4,968,086.23
  5. Step 5: Solve for x
    x = 4,968,086.23/2,458.97
  6. Step 6: Final answer
    x = 2,020.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.