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Finding the Fourth Proportional to 1,737.39, 2,395.19 and 1,361.96

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Solution

The fourth proportional to 1,737.39, 2,395.19 and 1,361.96 is: 1,877.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.39 : 2,395.19 = 1,361.96 : x
  2. Step 2: Convert to fraction form
    1,737.39/2,395.19 = 1,361.96/x
  3. Step 3: Cross multiply
    1,737.39x = 2,395.19 × 1,361.96
  4. Step 4: Simplify right side
    1,737.39x = 3,262,144.40
  5. Step 5: Solve for x
    x = 3,262,144.40/1,737.39
  6. Step 6: Final answer
    x = 1,877.61

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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.