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Finding the Fourth Proportional to 3,460.19, 5,190.23 and 1,610.27

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Solution

The fourth proportional to 3,460.19, 5,190.23 and 1,610.27 is: 2,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.19 : 5,190.23 = 1,610.27 : x
  2. Step 2: Convert to fraction form
    3,460.19/5,190.23 = 1,610.27/x
  3. Step 3: Cross multiply
    3,460.19x = 5,190.23 × 1,610.27
  4. Step 4: Simplify right side
    3,460.19x = 8,357,671.66
  5. Step 5: Solve for x
    x = 8,357,671.66/3,460.19
  6. Step 6: Final answer
    x = 2,415.38

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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.