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Finding the Fourth Proportional to 3,437.76, 4,745.32 and 2,040.50

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Solution

The fourth proportional to 3,437.76, 4,745.32 and 2,040.50 is: 2,816.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.76 : 4,745.32 = 2,040.50 : x
  2. Step 2: Convert to fraction form
    3,437.76/4,745.32 = 2,040.50/x
  3. Step 3: Cross multiply
    3,437.76x = 4,745.32 × 2,040.50
  4. Step 4: Simplify right side
    3,437.76x = 9,682,825.46
  5. Step 5: Solve for x
    x = 9,682,825.46/3,437.76
  6. Step 6: Final answer
    x = 2,816.61

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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.