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Finding the Fourth Proportional to 2,932.70, 4,047.17 and 1,606.32

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Solution

The fourth proportional to 2,932.70, 4,047.17 and 1,606.32 is: 2,216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.70 : 4,047.17 = 1,606.32 : x
  2. Step 2: Convert to fraction form
    2,932.70/4,047.17 = 1,606.32/x
  3. Step 3: Cross multiply
    2,932.70x = 4,047.17 × 1,606.32
  4. Step 4: Simplify right side
    2,932.70x = 6,501,036.66
  5. Step 5: Solve for x
    x = 6,501,036.66/2,932.70
  6. Step 6: Final answer
    x = 2,216.74

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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.