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Finding the Fourth Proportional to 2,745.40, 3,787.28 and 1,800.76

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Solution

The fourth proportional to 2,745.40, 3,787.28 and 1,800.76 is: 2,484.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.40 : 3,787.28 = 1,800.76 : x
  2. Step 2: Convert to fraction form
    2,745.40/3,787.28 = 1,800.76/x
  3. Step 3: Cross multiply
    2,745.40x = 3,787.28 × 1,800.76
  4. Step 4: Simplify right side
    2,745.40x = 6,819,982.33
  5. Step 5: Solve for x
    x = 6,819,982.33/2,745.40
  6. Step 6: Final answer
    x = 2,484.15

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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.