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Finding the Fourth Proportional to 2,777.85, 3,831.84 and 1,658.43

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Solution

The fourth proportional to 2,777.85, 3,831.84 and 1,658.43 is: 2,287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.85 : 3,831.84 = 1,658.43 : x
  2. Step 2: Convert to fraction form
    2,777.85/3,831.84 = 1,658.43/x
  3. Step 3: Cross multiply
    2,777.85x = 3,831.84 × 1,658.43
  4. Step 4: Simplify right side
    2,777.85x = 6,354,838.41
  5. Step 5: Solve for x
    x = 6,354,838.41/2,777.85
  6. Step 6: Final answer
    x = 2,287.68

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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.