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Finding the Fourth Proportional to 2,329.97, 3,494.99 and 574.98

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Solution

The fourth proportional to 2,329.97, 3,494.99 and 574.98 is: 862.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.97 : 3,494.99 = 574.98 : x
  2. Step 2: Convert to fraction form
    2,329.97/3,494.99 = 574.98/x
  3. Step 3: Cross multiply
    2,329.97x = 3,494.99 × 574.98
  4. Step 4: Simplify right side
    2,329.97x = 2,009,546.48
  5. Step 5: Solve for x
    x = 2,009,546.48/2,329.97
  6. Step 6: Final answer
    x = 862.48

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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.