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Finding the Fourth Proportional to 1,768.42, 2,652.96 and 1,220.86

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Solution

The fourth proportional to 1,768.42, 2,652.96 and 1,220.86 is: 1,831.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.42 : 2,652.96 = 1,220.86 : x
  2. Step 2: Convert to fraction form
    1,768.42/2,652.96 = 1,220.86/x
  3. Step 3: Cross multiply
    1,768.42x = 2,652.96 × 1,220.86
  4. Step 4: Simplify right side
    1,768.42x = 3,238,892.75
  5. Step 5: Solve for x
    x = 3,238,892.75/1,768.42
  6. Step 6: Final answer
    x = 1,831.52

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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.