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Finding the Fourth Proportional to 2,046.22, 2,805.43 and 2,009.35

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Solution

The fourth proportional to 2,046.22, 2,805.43 and 2,009.35 is: 2,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.22 : 2,805.43 = 2,009.35 : x
  2. Step 2: Convert to fraction form
    2,046.22/2,805.43 = 2,009.35/x
  3. Step 3: Cross multiply
    2,046.22x = 2,805.43 × 2,009.35
  4. Step 4: Simplify right side
    2,046.22x = 5,637,090.77
  5. Step 5: Solve for x
    x = 5,637,090.77/2,046.22
  6. Step 6: Final answer
    x = 2,754.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.