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Finding the Fourth Proportional to 2,009.12, 3,019.62 and 1,664.66

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Solution

The fourth proportional to 2,009.12, 3,019.62 and 1,664.66 is: 2,501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.12 : 3,019.62 = 1,664.66 : x
  2. Step 2: Convert to fraction form
    2,009.12/3,019.62 = 1,664.66/x
  3. Step 3: Cross multiply
    2,009.12x = 3,019.62 × 1,664.66
  4. Step 4: Simplify right side
    2,009.12x = 5,026,640.63
  5. Step 5: Solve for x
    x = 5,026,640.63/2,009.12
  6. Step 6: Final answer
    x = 2,501.91

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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.