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Finding the Fourth Proportional to 1,831.28, 2,745.62 and 856.85

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Solution

The fourth proportional to 1,831.28, 2,745.62 and 856.85 is: 1,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.28 : 2,745.62 = 856.85 : x
  2. Step 2: Convert to fraction form
    1,831.28/2,745.62 = 856.85/x
  3. Step 3: Cross multiply
    1,831.28x = 2,745.62 × 856.85
  4. Step 4: Simplify right side
    1,831.28x = 2,352,587.08
  5. Step 5: Solve for x
    x = 2,352,587.08/1,831.28
  6. Step 6: Final answer
    x = 1,284.67

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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.