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Finding the Fourth Proportional to 1,902.31, 2,864.66 and 1,661.74

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Solution

The fourth proportional to 1,902.31, 2,864.66 and 1,661.74 is: 2,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.31 : 2,864.66 = 1,661.74 : x
  2. Step 2: Convert to fraction form
    1,902.31/2,864.66 = 1,661.74/x
  3. Step 3: Cross multiply
    1,902.31x = 2,864.66 × 1,661.74
  4. Step 4: Simplify right side
    1,902.31x = 4,760,320.11
  5. Step 5: Solve for x
    x = 4,760,320.11/1,902.31
  6. Step 6: Final answer
    x = 2,502.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.