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Finding the Fourth Proportional to 4,128.66, 6,192.99 and 1,663.02

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Solution

The fourth proportional to 4,128.66, 6,192.99 and 1,663.02 is: 2,494.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128.66 : 6,192.99 = 1,663.02 : x
  2. Step 2: Convert to fraction form
    4,128.66/6,192.99 = 1,663.02/x
  3. Step 3: Cross multiply
    4,128.66x = 6,192.99 × 1,663.02
  4. Step 4: Simplify right side
    4,128.66x = 10,299,066.23
  5. Step 5: Solve for x
    x = 10,299,066.23/4,128.66
  6. Step 6: Final answer
    x = 2,494.53

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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.