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Finding the Fourth Proportional to 2,855.27, 3,941.10 and 1,807.94

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Solution

The fourth proportional to 2,855.27, 3,941.10 and 1,807.94 is: 2,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.27 : 3,941.10 = 1,807.94 : x
  2. Step 2: Convert to fraction form
    2,855.27/3,941.10 = 1,807.94/x
  3. Step 3: Cross multiply
    2,855.27x = 3,941.10 × 1,807.94
  4. Step 4: Simplify right side
    2,855.27x = 7,125,252.63
  5. Step 5: Solve for x
    x = 7,125,252.63/2,855.27
  6. Step 6: Final answer
    x = 2,495.48

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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.