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Finding the Fourth Proportional to 3,240.78, 4,860.33 and 900.78

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Solution

The fourth proportional to 3,240.78, 4,860.33 and 900.78 is: 1,350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240.78 : 4,860.33 = 900.78 : x
  2. Step 2: Convert to fraction form
    3,240.78/4,860.33 = 900.78/x
  3. Step 3: Cross multiply
    3,240.78x = 4,860.33 × 900.78
  4. Step 4: Simplify right side
    3,240.78x = 4,378,088.06
  5. Step 5: Solve for x
    x = 4,378,088.06/3,240.78
  6. Step 6: Final answer
    x = 1,350.94

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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.