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Finding the Fourth Proportional to 3,009.52, 4,513.20 and 1,160.56

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Solution

The fourth proportional to 3,009.52, 4,513.20 and 1,160.56 is: 1,740.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.52 : 4,513.20 = 1,160.56 : x
  2. Step 2: Convert to fraction form
    3,009.52/4,513.20 = 1,160.56/x
  3. Step 3: Cross multiply
    3,009.52x = 4,513.20 × 1,160.56
  4. Step 4: Simplify right side
    3,009.52x = 5,237,839.39
  5. Step 5: Solve for x
    x = 5,237,839.39/3,009.52
  6. Step 6: Final answer
    x = 1,740.42

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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.