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Finding the Fourth Proportional to 2,652.74, 3,979.57 and 1,009.43

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Solution

The fourth proportional to 2,652.74, 3,979.57 and 1,009.43 is: 1,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.74 : 3,979.57 = 1,009.43 : x
  2. Step 2: Convert to fraction form
    2,652.74/3,979.57 = 1,009.43/x
  3. Step 3: Cross multiply
    2,652.74x = 3,979.57 × 1,009.43
  4. Step 4: Simplify right side
    2,652.74x = 4,017,097.35
  5. Step 5: Solve for x
    x = 4,017,097.35/2,652.74
  6. Step 6: Final answer
    x = 1,514.32

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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.