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Finding the Fourth Proportional to 1,361.77, 2,043.57 and 1,356.76

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Solution

The fourth proportional to 1,361.77, 2,043.57 and 1,356.76 is: 2,036.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.77 : 2,043.57 = 1,356.76 : x
  2. Step 2: Convert to fraction form
    1,361.77/2,043.57 = 1,356.76/x
  3. Step 3: Cross multiply
    1,361.77x = 2,043.57 × 1,356.76
  4. Step 4: Simplify right side
    1,361.77x = 2,772,634.03
  5. Step 5: Solve for x
    x = 2,772,634.03/1,361.77
  6. Step 6: Final answer
    x = 2,036.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.