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Finding the Fourth Proportional to 2,831.14, 4,246.91 and 751.13

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Solution

The fourth proportional to 2,831.14, 4,246.91 and 751.13 is: 1,126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.14 : 4,246.91 = 751.13 : x
  2. Step 2: Convert to fraction form
    2,831.14/4,246.91 = 751.13/x
  3. Step 3: Cross multiply
    2,831.14x = 4,246.91 × 751.13
  4. Step 4: Simplify right side
    2,831.14x = 3,189,981.51
  5. Step 5: Solve for x
    x = 3,189,981.51/2,831.14
  6. Step 6: Final answer
    x = 1,126.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.