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Finding the Fourth Proportional to 2,510.52, 3,767.82 and 1,895.73

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Solution

The fourth proportional to 2,510.52, 3,767.82 and 1,895.73 is: 2,845.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.52 : 3,767.82 = 1,895.73 : x
  2. Step 2: Convert to fraction form
    2,510.52/3,767.82 = 1,895.73/x
  3. Step 3: Cross multiply
    2,510.52x = 3,767.82 × 1,895.73
  4. Step 4: Simplify right side
    2,510.52x = 7,142,769.41
  5. Step 5: Solve for x
    x = 7,142,769.41/2,510.52
  6. Step 6: Final answer
    x = 2,845.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.