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Finding the Fourth Proportional to 2,315.97, 3,473.94 and 854.31

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Solution

The fourth proportional to 2,315.97, 3,473.94 and 854.31 is: 1,281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.97 : 3,473.94 = 854.31 : x
  2. Step 2: Convert to fraction form
    2,315.97/3,473.94 = 854.31/x
  3. Step 3: Cross multiply
    2,315.97x = 3,473.94 × 854.31
  4. Step 4: Simplify right side
    2,315.97x = 2,967,821.68
  5. Step 5: Solve for x
    x = 2,967,821.68/2,315.97
  6. Step 6: Final answer
    x = 1,281.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.