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Finding the Fourth Proportional to 4,074.30, 6,109.65 and 1,608.30

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Solution

The fourth proportional to 4,074.30, 6,109.65 and 1,608.30 is: 2,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.30 : 6,109.65 = 1,608.30 : x
  2. Step 2: Convert to fraction form
    4,074.30/6,109.65 = 1,608.30/x
  3. Step 3: Cross multiply
    4,074.30x = 6,109.65 × 1,608.30
  4. Step 4: Simplify right side
    4,074.30x = 9,826,150.10
  5. Step 5: Solve for x
    x = 9,826,150.10/4,074.30
  6. Step 6: Final answer
    x = 2,411.74

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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.