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Finding the Fourth Proportional to 6,151.60, 9,228.15 and 1,769.08

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Solution

The fourth proportional to 6,151.60, 9,228.15 and 1,769.08 is: 2,653.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.60 : 9,228.15 = 1,769.08 : x
  2. Step 2: Convert to fraction form
    6,151.60/9,228.15 = 1,769.08/x
  3. Step 3: Cross multiply
    6,151.60x = 9,228.15 × 1,769.08
  4. Step 4: Simplify right side
    6,151.60x = 16,325,335.60
  5. Step 5: Solve for x
    x = 16,325,335.60/6,151.60
  6. Step 6: Final answer
    x = 2,653.84

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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.