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Finding the Fourth Proportional to 2,492, 3,439.29 and 1,610.37

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Solution

The fourth proportional to 2,492, 3,439.29 and 1,610.37 is: 2,222.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492 : 3,439.29 = 1,610.37 : x
  2. Step 2: Convert to fraction form
    2,492/3,439.29 = 1,610.37/x
  3. Step 3: Cross multiply
    2,492x = 3,439.29 × 1,610.37
  4. Step 4: Simplify right side
    2,492x = 5,538,529.44
  5. Step 5: Solve for x
    x = 5,538,529.44/2,492
  6. Step 6: Final answer
    x = 2,222.52

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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.