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Finding the Fourth Proportional to 1,404.22, 2,102.38 and 744.61

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Solution

The fourth proportional to 1,404.22, 2,102.38 and 744.61 is: 1,114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.22 : 2,102.38 = 744.61 : x
  2. Step 2: Convert to fraction form
    1,404.22/2,102.38 = 744.61/x
  3. Step 3: Cross multiply
    1,404.22x = 2,102.38 × 744.61
  4. Step 4: Simplify right side
    1,404.22x = 1,565,453.17
  5. Step 5: Solve for x
    x = 1,565,453.17/1,404.22
  6. Step 6: Final answer
    x = 1,114.82

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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.