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Finding the Fourth Proportional to 1,857.32, 2,784.15 and 1,199.09

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Solution

The fourth proportional to 1,857.32, 2,784.15 and 1,199.09 is: 1,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.32 : 2,784.15 = 1,199.09 : x
  2. Step 2: Convert to fraction form
    1,857.32/2,784.15 = 1,199.09/x
  3. Step 3: Cross multiply
    1,857.32x = 2,784.15 × 1,199.09
  4. Step 4: Simplify right side
    1,857.32x = 3,338,446.42
  5. Step 5: Solve for x
    x = 3,338,446.42/1,857.32
  6. Step 6: Final answer
    x = 1,797.45

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