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Finding the Fourth Proportional to 3,102.43, 4,282.11 and 1,907.71

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Solution

The fourth proportional to 3,102.43, 4,282.11 and 1,907.71 is: 2,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.43 : 4,282.11 = 1,907.71 : x
  2. Step 2: Convert to fraction form
    3,102.43/4,282.11 = 1,907.71/x
  3. Step 3: Cross multiply
    3,102.43x = 4,282.11 × 1,907.71
  4. Step 4: Simplify right side
    3,102.43x = 8,169,024.07
  5. Step 5: Solve for x
    x = 8,169,024.07/3,102.43
  6. Step 6: Final answer
    x = 2,633.11

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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.