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Finding the Fourth Proportional to 2,932.64, 4,047 and 1,606.26

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Solution

The fourth proportional to 2,932.64, 4,047 and 1,606.26 is: 2,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.64 : 4,047 = 1,606.26 : x
  2. Step 2: Convert to fraction form
    2,932.64/4,047 = 1,606.26/x
  3. Step 3: Cross multiply
    2,932.64x = 4,047 × 1,606.26
  4. Step 4: Simplify right side
    2,932.64x = 6,500,534.22
  5. Step 5: Solve for x
    x = 6,500,534.22/2,932.64
  6. Step 6: Final answer
    x = 2,216.62

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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.