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Finding the Fourth Proportional to 2,065.79, 3,081.72 and 2,009.31

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Solution

The fourth proportional to 2,065.79, 3,081.72 and 2,009.31 is: 2,997.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.79 : 3,081.72 = 2,009.31 : x
  2. Step 2: Convert to fraction form
    2,065.79/3,081.72 = 2,009.31/x
  3. Step 3: Cross multiply
    2,065.79x = 3,081.72 × 2,009.31
  4. Step 4: Simplify right side
    2,065.79x = 6,192,130.81
  5. Step 5: Solve for x
    x = 6,192,130.81/2,065.79
  6. Step 6: Final answer
    x = 2,997.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.