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Finding the Fourth Proportional to 2,652.90, 3,979.55 and 1,009.43

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Solution

The fourth proportional to 2,652.90, 3,979.55 and 1,009.43 is: 1,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.90 : 3,979.55 = 1,009.43 : x
  2. Step 2: Convert to fraction form
    2,652.90/3,979.55 = 1,009.43/x
  3. Step 3: Cross multiply
    2,652.90x = 3,979.55 × 1,009.43
  4. Step 4: Simplify right side
    2,652.90x = 4,017,077.16
  5. Step 5: Solve for x
    x = 4,017,077.16/2,652.90
  6. Step 6: Final answer
    x = 1,514.22

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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.