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Finding the Fourth Proportional to 2,665.14, 3,999.51 and 933.78

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Solution

The fourth proportional to 2,665.14, 3,999.51 and 933.78 is: 1,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.14 : 3,999.51 = 933.78 : x
  2. Step 2: Convert to fraction form
    2,665.14/3,999.51 = 933.78/x
  3. Step 3: Cross multiply
    2,665.14x = 3,999.51 × 933.78
  4. Step 4: Simplify right side
    2,665.14x = 3,734,662.45
  5. Step 5: Solve for x
    x = 3,734,662.45/2,665.14
  6. Step 6: Final answer
    x = 1,401.30

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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.