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Finding the Fourth Proportional to 2,323.14, 3,486.07 and 863.30

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Solution

The fourth proportional to 2,323.14, 3,486.07 and 863.30 is: 1,295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.14 : 3,486.07 = 863.30 : x
  2. Step 2: Convert to fraction form
    2,323.14/3,486.07 = 863.30/x
  3. Step 3: Cross multiply
    2,323.14x = 3,486.07 × 863.30
  4. Step 4: Simplify right side
    2,323.14x = 3,009,524.23
  5. Step 5: Solve for x
    x = 3,009,524.23/2,323.14
  6. Step 6: Final answer
    x = 1,295.46

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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.