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Finding the Fourth Proportional to 2,831.03, 4,247.16 and 856.50

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Solution

The fourth proportional to 2,831.03, 4,247.16 and 856.50 is: 1,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.03 : 4,247.16 = 856.50 : x
  2. Step 2: Convert to fraction form
    2,831.03/4,247.16 = 856.50/x
  3. Step 3: Cross multiply
    2,831.03x = 4,247.16 × 856.50
  4. Step 4: Simplify right side
    2,831.03x = 3,637,692.54
  5. Step 5: Solve for x
    x = 3,637,692.54/2,831.03
  6. Step 6: Final answer
    x = 1,284.94

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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.