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Finding the Fourth Proportional to 2,412.90, 3,329.78 and 1,364.90

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Solution

The fourth proportional to 2,412.90, 3,329.78 and 1,364.90 is: 1,883.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.90 : 3,329.78 = 1,364.90 : x
  2. Step 2: Convert to fraction form
    2,412.90/3,329.78 = 1,364.90/x
  3. Step 3: Cross multiply
    2,412.90x = 3,329.78 × 1,364.90
  4. Step 4: Simplify right side
    2,412.90x = 4,544,793.25
  5. Step 5: Solve for x
    x = 4,544,793.25/2,412.90
  6. Step 6: Final answer
    x = 1,883.54

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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.