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Finding the Fourth Proportional to 1,606.62, 2,216.52 and 943.23

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Solution

The fourth proportional to 1,606.62, 2,216.52 and 943.23 is: 1,301.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.62 : 2,216.52 = 943.23 : x
  2. Step 2: Convert to fraction form
    1,606.62/2,216.52 = 943.23/x
  3. Step 3: Cross multiply
    1,606.62x = 2,216.52 × 943.23
  4. Step 4: Simplify right side
    1,606.62x = 2,090,688.16
  5. Step 5: Solve for x
    x = 2,090,688.16/1,606.62
  6. Step 6: Final answer
    x = 1,301.30

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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.