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Finding the Fourth Proportional to 2,492.56, 3,439.64 and 1,608.56

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Solution

The fourth proportional to 2,492.56, 3,439.64 and 1,608.56 is: 2,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.56 : 3,439.64 = 1,608.56 : x
  2. Step 2: Convert to fraction form
    2,492.56/3,439.64 = 1,608.56/x
  3. Step 3: Cross multiply
    2,492.56x = 3,439.64 × 1,608.56
  4. Step 4: Simplify right side
    2,492.56x = 5,532,867.32
  5. Step 5: Solve for x
    x = 5,532,867.32/2,492.56
  6. Step 6: Final answer
    x = 2,219.75

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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.