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Finding the Fourth Proportional to 2,199.94, 3,036.18 and 1,361.20

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Solution

The fourth proportional to 2,199.94, 3,036.18 and 1,361.20 is: 1,878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.94 : 3,036.18 = 1,361.20 : x
  2. Step 2: Convert to fraction form
    2,199.94/3,036.18 = 1,361.20/x
  3. Step 3: Cross multiply
    2,199.94x = 3,036.18 × 1,361.20
  4. Step 4: Simplify right side
    2,199.94x = 4,132,848.22
  5. Step 5: Solve for x
    x = 4,132,848.22/2,199.94
  6. Step 6: Final answer
    x = 1,878.62

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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.