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Finding the Fourth Proportional to 2,932.68, 4,047.18 and 1,606.47

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Solution

The fourth proportional to 2,932.68, 4,047.18 and 1,606.47 is: 2,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.68 : 4,047.18 = 1,606.47 : x
  2. Step 2: Convert to fraction form
    2,932.68/4,047.18 = 1,606.47/x
  3. Step 3: Cross multiply
    2,932.68x = 4,047.18 × 1,606.47
  4. Step 4: Simplify right side
    2,932.68x = 6,501,673.25
  5. Step 5: Solve for x
    x = 6,501,673.25/2,932.68
  6. Step 6: Final answer
    x = 2,216.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.