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Finding the Fourth Proportional to 1,435.22, 1,981.25 and 1,103.53

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Solution

The fourth proportional to 1,435.22, 1,981.25 and 1,103.53 is: 1,523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.22 : 1,981.25 = 1,103.53 : x
  2. Step 2: Convert to fraction form
    1,435.22/1,981.25 = 1,103.53/x
  3. Step 3: Cross multiply
    1,435.22x = 1,981.25 × 1,103.53
  4. Step 4: Simplify right side
    1,435.22x = 2,186,361.67
  5. Step 5: Solve for x
    x = 2,186,361.67/1,435.22
  6. Step 6: Final answer
    x = 1,523.37

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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.