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Finding the Fourth Proportional to 3,009.52, 4,514.47 and 1,160.65

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Solution

The fourth proportional to 3,009.52, 4,514.47 and 1,160.65 is: 1,741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.52 : 4,514.47 = 1,160.65 : x
  2. Step 2: Convert to fraction form
    3,009.52/4,514.47 = 1,160.65/x
  3. Step 3: Cross multiply
    3,009.52x = 4,514.47 × 1,160.65
  4. Step 4: Simplify right side
    3,009.52x = 5,239,719.61
  5. Step 5: Solve for x
    x = 5,239,719.61/3,009.52
  6. Step 6: Final answer
    x = 1,741.05

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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.