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Finding the Fourth Proportional to 2,329.49, 3,494.27 and 574.50

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Solution

The fourth proportional to 2,329.49, 3,494.27 and 574.50 is: 861.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.49 : 3,494.27 = 574.50 : x
  2. Step 2: Convert to fraction form
    2,329.49/3,494.27 = 574.50/x
  3. Step 3: Cross multiply
    2,329.49x = 3,494.27 × 574.50
  4. Step 4: Simplify right side
    2,329.49x = 2,007,458.12
  5. Step 5: Solve for x
    x = 2,007,458.12/2,329.49
  6. Step 6: Final answer
    x = 861.76

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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.