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Finding the Fourth Proportional to 2,831.66, 4,218.29 and 2,745.68

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Solution

The fourth proportional to 2,831.66, 4,218.29 and 2,745.68 is: 4,090.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.66 : 4,218.29 = 2,745.68 : x
  2. Step 2: Convert to fraction form
    2,831.66/4,218.29 = 2,745.68/x
  3. Step 3: Cross multiply
    2,831.66x = 4,218.29 × 2,745.68
  4. Step 4: Simplify right side
    2,831.66x = 11,582,074.49
  5. Step 5: Solve for x
    x = 11,582,074.49/2,831.66
  6. Step 6: Final answer
    x = 4,090.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.