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Finding the Fourth Proportional to 3,461.44, 5,192.16 and 1,269.34

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Solution

The fourth proportional to 3,461.44, 5,192.16 and 1,269.34 is: 1,904.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.44 : 5,192.16 = 1,269.34 : x
  2. Step 2: Convert to fraction form
    3,461.44/5,192.16 = 1,269.34/x
  3. Step 3: Cross multiply
    3,461.44x = 5,192.16 × 1,269.34
  4. Step 4: Simplify right side
    3,461.44x = 6,590,616.37
  5. Step 5: Solve for x
    x = 6,590,616.37/3,461.44
  6. Step 6: Final answer
    x = 1,904.01

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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.