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Finding the Fourth Proportional to 2,652.93, 3,979.53 and 1,009.71

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Solution

The fourth proportional to 2,652.93, 3,979.53 and 1,009.71 is: 1,514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.93 : 3,979.53 = 1,009.71 : x
  2. Step 2: Convert to fraction form
    2,652.93/3,979.53 = 1,009.71/x
  3. Step 3: Cross multiply
    2,652.93x = 3,979.53 × 1,009.71
  4. Step 4: Simplify right side
    2,652.93x = 4,018,171.24
  5. Step 5: Solve for x
    x = 4,018,171.24/2,652.93
  6. Step 6: Final answer
    x = 1,514.62

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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.