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Finding the Fourth Proportional to 1,221.42, 1,831.93 and 343.98

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Solution

The fourth proportional to 1,221.42, 1,831.93 and 343.98 is: 515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.42 : 1,831.93 = 343.98 : x
  2. Step 2: Convert to fraction form
    1,221.42/1,831.93 = 343.98/x
  3. Step 3: Cross multiply
    1,221.42x = 1,831.93 × 343.98
  4. Step 4: Simplify right side
    1,221.42x = 630,145.56
  5. Step 5: Solve for x
    x = 630,145.56/1,221.42
  6. Step 6: Final answer
    x = 515.91

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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.