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Finding the Fourth Proportional to 3,438.68, 4,745.64 and 2,180.70

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Solution

The fourth proportional to 3,438.68, 4,745.64 and 2,180.70 is: 3,009.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.68 : 4,745.64 = 2,180.70 : x
  2. Step 2: Convert to fraction form
    3,438.68/4,745.64 = 2,180.70/x
  3. Step 3: Cross multiply
    3,438.68x = 4,745.64 × 2,180.70
  4. Step 4: Simplify right side
    3,438.68x = 10,348,799.71
  5. Step 5: Solve for x
    x = 10,348,799.71/3,438.68
  6. Step 6: Final answer
    x = 3,009.53

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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.