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Finding the Fourth Proportional to 2,032.97, 3,032.10 and 1,770.83

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Solution

The fourth proportional to 2,032.97, 3,032.10 and 1,770.83 is: 2,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.97 : 3,032.10 = 1,770.83 : x
  2. Step 2: Convert to fraction form
    2,032.97/3,032.10 = 1,770.83/x
  3. Step 3: Cross multiply
    2,032.97x = 3,032.10 × 1,770.83
  4. Step 4: Simplify right side
    2,032.97x = 5,369,318.48
  5. Step 5: Solve for x
    x = 5,369,318.48/2,032.97
  6. Step 6: Final answer
    x = 2,641.13

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