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Finding the Fourth Proportional to 4,530.71, 6,796.76 and 1,608.32

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Solution

The fourth proportional to 4,530.71, 6,796.76 and 1,608.32 is: 2,412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,530.71 : 6,796.76 = 1,608.32 : x
  2. Step 2: Convert to fraction form
    4,530.71/6,796.76 = 1,608.32/x
  3. Step 3: Cross multiply
    4,530.71x = 6,796.76 × 1,608.32
  4. Step 4: Simplify right side
    4,530.71x = 10,931,373.99
  5. Step 5: Solve for x
    x = 10,931,373.99/4,530.71
  6. Step 6: Final answer
    x = 2,412.73

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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.