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Finding the Fourth Proportional to 2,458.68, 3,392.87 and 1,464.07

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Solution

The fourth proportional to 2,458.68, 3,392.87 and 1,464.07 is: 2,020.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.68 : 3,392.87 = 1,464.07 : x
  2. Step 2: Convert to fraction form
    2,458.68/3,392.87 = 1,464.07/x
  3. Step 3: Cross multiply
    2,458.68x = 3,392.87 × 1,464.07
  4. Step 4: Simplify right side
    2,458.68x = 4,967,383.38
  5. Step 5: Solve for x
    x = 4,967,383.38/2,458.68
  6. Step 6: Final answer
    x = 2,020.35

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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.