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Finding the Fourth Proportional to 1,606.96, 2,217.08 and 1,083.28

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Solution

The fourth proportional to 1,606.96, 2,217.08 and 1,083.28 is: 1,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.96 : 2,217.08 = 1,083.28 : x
  2. Step 2: Convert to fraction form
    1,606.96/2,217.08 = 1,083.28/x
  3. Step 3: Cross multiply
    1,606.96x = 2,217.08 × 1,083.28
  4. Step 4: Simplify right side
    1,606.96x = 2,401,718.42
  5. Step 5: Solve for x
    x = 2,401,718.42/1,606.96
  6. Step 6: Final answer
    x = 1,494.57

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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.