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Finding the Fourth Proportional to 1,324.98, 1,831.68 and 1,214.28

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Solution

The fourth proportional to 1,324.98, 1,831.68 and 1,214.28 is: 1,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.98 : 1,831.68 = 1,214.28 : x
  2. Step 2: Convert to fraction form
    1,324.98/1,831.68 = 1,214.28/x
  3. Step 3: Cross multiply
    1,324.98x = 1,831.68 × 1,214.28
  4. Step 4: Simplify right side
    1,324.98x = 2,224,172.39
  5. Step 5: Solve for x
    x = 2,224,172.39/1,324.98
  6. Step 6: Final answer
    x = 1,678.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.