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Finding the Fourth Proportional to 2,810.92, 3,877.86 and 1,762.78

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Solution

The fourth proportional to 2,810.92, 3,877.86 and 1,762.78 is: 2,431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.92 : 3,877.86 = 1,762.78 : x
  2. Step 2: Convert to fraction form
    2,810.92/3,877.86 = 1,762.78/x
  3. Step 3: Cross multiply
    2,810.92x = 3,877.86 × 1,762.78
  4. Step 4: Simplify right side
    2,810.92x = 6,835,814.05
  5. Step 5: Solve for x
    x = 6,835,814.05/2,810.92
  6. Step 6: Final answer
    x = 2,431.88

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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.