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Finding the Fourth Proportional to 3,109.96, 4,663.47 and 1,134.19

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Solution

The fourth proportional to 3,109.96, 4,663.47 and 1,134.19 is: 1,700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.96 : 4,663.47 = 1,134.19 : x
  2. Step 2: Convert to fraction form
    3,109.96/4,663.47 = 1,134.19/x
  3. Step 3: Cross multiply
    3,109.96x = 4,663.47 × 1,134.19
  4. Step 4: Simplify right side
    3,109.96x = 5,289,261.04
  5. Step 5: Solve for x
    x = 5,289,261.04/3,109.96
  6. Step 6: Final answer
    x = 1,700.75

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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.