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Finding the Fourth Proportional to 2,810.69, 3,878.75 and 1,631.83

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Solution

The fourth proportional to 2,810.69, 3,878.75 and 1,631.83 is: 2,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.69 : 3,878.75 = 1,631.83 : x
  2. Step 2: Convert to fraction form
    2,810.69/3,878.75 = 1,631.83/x
  3. Step 3: Cross multiply
    2,810.69x = 3,878.75 × 1,631.83
  4. Step 4: Simplify right side
    2,810.69x = 6,329,460.61
  5. Step 5: Solve for x
    x = 6,329,460.61/2,810.69
  6. Step 6: Final answer
    x = 2,251.92

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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.