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Finding the Fourth Proportional to 2,046.11, 2,823.64 and 1,161.90

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Solution

The fourth proportional to 2,046.11, 2,823.64 and 1,161.90 is: 1,603.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.11 : 2,823.64 = 1,161.90 : x
  2. Step 2: Convert to fraction form
    2,046.11/2,823.64 = 1,161.90/x
  3. Step 3: Cross multiply
    2,046.11x = 2,823.64 × 1,161.90
  4. Step 4: Simplify right side
    2,046.11x = 3,280,784.41
  5. Step 5: Solve for x
    x = 3,280,784.41/2,046.11
  6. Step 6: Final answer
    x = 1,603.43

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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.