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Finding the Fourth Proportional to 1,361.78, 1,878.50 and 837.71

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Solution

The fourth proportional to 1,361.78, 1,878.50 and 837.71 is: 1,155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.78 : 1,878.50 = 837.71 : x
  2. Step 2: Convert to fraction form
    1,361.78/1,878.50 = 837.71/x
  3. Step 3: Cross multiply
    1,361.78x = 1,878.50 × 837.71
  4. Step 4: Simplify right side
    1,361.78x = 1,573,634.05
  5. Step 5: Solve for x
    x = 1,573,634.05/1,361.78
  6. Step 6: Final answer
    x = 1,155.57

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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.