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Finding the Fourth Proportional to 3,113.56, 4,669.80 and 1,165.36

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Solution

The fourth proportional to 3,113.56, 4,669.80 and 1,165.36 is: 1,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.56 : 4,669.80 = 1,165.36 : x
  2. Step 2: Convert to fraction form
    3,113.56/4,669.80 = 1,165.36/x
  3. Step 3: Cross multiply
    3,113.56x = 4,669.80 × 1,165.36
  4. Step 4: Simplify right side
    3,113.56x = 5,441,998.13
  5. Step 5: Solve for x
    x = 5,441,998.13/3,113.56
  6. Step 6: Final answer
    x = 1,747.84

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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.