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Finding the Fourth Proportional to 3,438.40, 4,745.16 and 1,946.24

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Solution

The fourth proportional to 3,438.40, 4,745.16 and 1,946.24 is: 2,685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.40 : 4,745.16 = 1,946.24 : x
  2. Step 2: Convert to fraction form
    3,438.40/4,745.16 = 1,946.24/x
  3. Step 3: Cross multiply
    3,438.40x = 4,745.16 × 1,946.24
  4. Step 4: Simplify right side
    3,438.40x = 9,235,220.20
  5. Step 5: Solve for x
    x = 9,235,220.20/3,438.40
  6. Step 6: Final answer
    x = 2,685.91

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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.