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Finding the Fourth Proportional to 1,221.14, 1,831.74 and 355.52

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Solution

The fourth proportional to 1,221.14, 1,831.74 and 355.52 is: 533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.14 : 1,831.74 = 355.52 : x
  2. Step 2: Convert to fraction form
    1,221.14/1,831.74 = 355.52/x
  3. Step 3: Cross multiply
    1,221.14x = 1,831.74 × 355.52
  4. Step 4: Simplify right side
    1,221.14x = 651,220.20
  5. Step 5: Solve for x
    x = 651,220.20/1,221.14
  6. Step 6: Final answer
    x = 533.29

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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.