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Finding the Fourth Proportional to 4,605.29, 6,908.38 and 1,831.34

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Solution

The fourth proportional to 4,605.29, 6,908.38 and 1,831.34 is: 2,747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.29 : 6,908.38 = 1,831.34 : x
  2. Step 2: Convert to fraction form
    4,605.29/6,908.38 = 1,831.34/x
  3. Step 3: Cross multiply
    4,605.29x = 6,908.38 × 1,831.34
  4. Step 4: Simplify right side
    4,605.29x = 12,651,558.09
  5. Step 5: Solve for x
    x = 12,651,558.09/4,605.29
  6. Step 6: Final answer
    x = 2,747.18

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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.