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Finding the Fourth Proportional to 2,099.55, 2,895 and 1,342.32

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Solution

The fourth proportional to 2,099.55, 2,895 and 1,342.32 is: 1,850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.55 : 2,895 = 1,342.32 : x
  2. Step 2: Convert to fraction form
    2,099.55/2,895 = 1,342.32/x
  3. Step 3: Cross multiply
    2,099.55x = 2,895 × 1,342.32
  4. Step 4: Simplify right side
    2,099.55x = 3,886,016.40
  5. Step 5: Solve for x
    x = 3,886,016.40/2,099.55
  6. Step 6: Final answer
    x = 1,850.88

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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.