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Finding the Fourth Proportional to 3,103.91, 4,283.14 and 1,827.59

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Solution

The fourth proportional to 3,103.91, 4,283.14 and 1,827.59 is: 2,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.91 : 4,283.14 = 1,827.59 : x
  2. Step 2: Convert to fraction form
    3,103.91/4,283.14 = 1,827.59/x
  3. Step 3: Cross multiply
    3,103.91x = 4,283.14 × 1,827.59
  4. Step 4: Simplify right side
    3,103.91x = 7,827,817.69
  5. Step 5: Solve for x
    x = 7,827,817.69/3,103.91
  6. Step 6: Final answer
    x = 2,521.92

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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.