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Finding the Fourth Proportional to 2,193.98, 3,027.76 and 1,199.32

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Solution

The fourth proportional to 2,193.98, 3,027.76 and 1,199.32 is: 1,655.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.98 : 3,027.76 = 1,199.32 : x
  2. Step 2: Convert to fraction form
    2,193.98/3,027.76 = 1,199.32/x
  3. Step 3: Cross multiply
    2,193.98x = 3,027.76 × 1,199.32
  4. Step 4: Simplify right side
    2,193.98x = 3,631,253.12
  5. Step 5: Solve for x
    x = 3,631,253.12/2,193.98
  6. Step 6: Final answer
    x = 1,655.10

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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.