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Finding the Fourth Proportional to 2,760.52, 3,809.70 and 1,581.67

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Solution

The fourth proportional to 2,760.52, 3,809.70 and 1,581.67 is: 2,182.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.52 : 3,809.70 = 1,581.67 : x
  2. Step 2: Convert to fraction form
    2,760.52/3,809.70 = 1,581.67/x
  3. Step 3: Cross multiply
    2,760.52x = 3,809.70 × 1,581.67
  4. Step 4: Simplify right side
    2,760.52x = 6,025,688.20
  5. Step 5: Solve for x
    x = 6,025,688.20/2,760.52
  6. Step 6: Final answer
    x = 2,182.81

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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.