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Finding the Fourth Proportional to 4,605.23, 6,902.72 and 1,831.16

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Solution

The fourth proportional to 4,605.23, 6,902.72 and 1,831.16 is: 2,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.23 : 6,902.72 = 1,831.16 : x
  2. Step 2: Convert to fraction form
    4,605.23/6,902.72 = 1,831.16/x
  3. Step 3: Cross multiply
    4,605.23x = 6,902.72 × 1,831.16
  4. Step 4: Simplify right side
    4,605.23x = 12,639,999.72
  5. Step 5: Solve for x
    x = 12,639,999.72/4,605.23
  6. Step 6: Final answer
    x = 2,744.70

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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.