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Finding the Fourth Proportional to 2,762.29, 3,807.64 and 1,876.56

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Solution

The fourth proportional to 2,762.29, 3,807.64 and 1,876.56 is: 2,586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.29 : 3,807.64 = 1,876.56 : x
  2. Step 2: Convert to fraction form
    2,762.29/3,807.64 = 1,876.56/x
  3. Step 3: Cross multiply
    2,762.29x = 3,807.64 × 1,876.56
  4. Step 4: Simplify right side
    2,762.29x = 7,145,236.50
  5. Step 5: Solve for x
    x = 7,145,236.50/2,762.29
  6. Step 6: Final answer
    x = 2,586.71

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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.