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Finding the Fourth Proportional to 3,102.08, 4,643.28 and 1,639.20

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Solution

The fourth proportional to 3,102.08, 4,643.28 and 1,639.20 is: 2,453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.08 : 4,643.28 = 1,639.20 : x
  2. Step 2: Convert to fraction form
    3,102.08/4,643.28 = 1,639.20/x
  3. Step 3: Cross multiply
    3,102.08x = 4,643.28 × 1,639.20
  4. Step 4: Simplify right side
    3,102.08x = 7,611,264.58
  5. Step 5: Solve for x
    x = 7,611,264.58/3,102.08
  6. Step 6: Final answer
    x = 2,453.60

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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.