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Finding the Fourth Proportional to 2,831.07, 4,245.88 and 882.27

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Solution

The fourth proportional to 2,831.07, 4,245.88 and 882.27 is: 1,323.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.07 : 4,245.88 = 882.27 : x
  2. Step 2: Convert to fraction form
    2,831.07/4,245.88 = 882.27/x
  3. Step 3: Cross multiply
    2,831.07x = 4,245.88 × 882.27
  4. Step 4: Simplify right side
    2,831.07x = 3,746,012.55
  5. Step 5: Solve for x
    x = 3,746,012.55/2,831.07
  6. Step 6: Final answer
    x = 1,323.18

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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.