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Finding the Fourth Proportional to 3,460.98, 5,192.22 and 1,269.63

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Solution

The fourth proportional to 3,460.98, 5,192.22 and 1,269.63 is: 1,904.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.98 : 5,192.22 = 1,269.63 : x
  2. Step 2: Convert to fraction form
    3,460.98/5,192.22 = 1,269.63/x
  3. Step 3: Cross multiply
    3,460.98x = 5,192.22 × 1,269.63
  4. Step 4: Simplify right side
    3,460.98x = 6,592,198.28
  5. Step 5: Solve for x
    x = 6,592,198.28/3,460.98
  6. Step 6: Final answer
    x = 1,904.72

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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.