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Finding the Fourth Proportional to 3,127.04, 4,691.92 and 1,828.50

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Solution

The fourth proportional to 3,127.04, 4,691.92 and 1,828.50 is: 2,743.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.04 : 4,691.92 = 1,828.50 : x
  2. Step 2: Convert to fraction form
    3,127.04/4,691.92 = 1,828.50/x
  3. Step 3: Cross multiply
    3,127.04x = 4,691.92 × 1,828.50
  4. Step 4: Simplify right side
    3,127.04x = 8,579,175.72
  5. Step 5: Solve for x
    x = 8,579,175.72/3,127.04
  6. Step 6: Final answer
    x = 2,743.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.