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Finding the Fourth Proportional to 2,475.97, 3,415.99 and 1,412.97

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Solution

The fourth proportional to 2,475.97, 3,415.99 and 1,412.97 is: 1,949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.97 : 3,415.99 = 1,412.97 : x
  2. Step 2: Convert to fraction form
    2,475.97/3,415.99 = 1,412.97/x
  3. Step 3: Cross multiply
    2,475.97x = 3,415.99 × 1,412.97
  4. Step 4: Simplify right side
    2,475.97x = 4,826,693.16
  5. Step 5: Solve for x
    x = 4,826,693.16/2,475.97
  6. Step 6: Final answer
    x = 1,949.42

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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.