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Finding the Fourth Proportional to 2,054.29, 3,082.65 and 756.67

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Solution

The fourth proportional to 2,054.29, 3,082.65 and 756.67 is: 1,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.29 : 3,082.65 = 756.67 : x
  2. Step 2: Convert to fraction form
    2,054.29/3,082.65 = 756.67/x
  3. Step 3: Cross multiply
    2,054.29x = 3,082.65 × 756.67
  4. Step 4: Simplify right side
    2,054.29x = 2,332,548.78
  5. Step 5: Solve for x
    x = 2,332,548.78/2,054.29
  6. Step 6: Final answer
    x = 1,135.45

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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.