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Finding the Fourth Proportional to 2,036.97, 2,811.98 and 1,667.93

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Solution

The fourth proportional to 2,036.97, 2,811.98 and 1,667.93 is: 2,302.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.97 : 2,811.98 = 1,667.93 : x
  2. Step 2: Convert to fraction form
    2,036.97/2,811.98 = 1,667.93/x
  3. Step 3: Cross multiply
    2,036.97x = 2,811.98 × 1,667.93
  4. Step 4: Simplify right side
    2,036.97x = 4,690,175.91
  5. Step 5: Solve for x
    x = 4,690,175.91/2,036.97
  6. Step 6: Final answer
    x = 2,302.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.