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Finding the Fourth Proportional to 3,092.90, 4,639.36 and 901.64

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Solution

The fourth proportional to 3,092.90, 4,639.36 and 901.64 is: 1,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.90 : 4,639.36 = 901.64 : x
  2. Step 2: Convert to fraction form
    3,092.90/4,639.36 = 901.64/x
  3. Step 3: Cross multiply
    3,092.90x = 4,639.36 × 901.64
  4. Step 4: Simplify right side
    3,092.90x = 4,183,032.55
  5. Step 5: Solve for x
    x = 4,183,032.55/3,092.90
  6. Step 6: Final answer
    x = 1,352.46

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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.