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Finding the Fourth Proportional to 1,606.89, 2,214.05 and 1,082.01

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Solution

The fourth proportional to 1,606.89, 2,214.05 and 1,082.01 is: 1,490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.89 : 2,214.05 = 1,082.01 : x
  2. Step 2: Convert to fraction form
    1,606.89/2,214.05 = 1,082.01/x
  3. Step 3: Cross multiply
    1,606.89x = 2,214.05 × 1,082.01
  4. Step 4: Simplify right side
    1,606.89x = 2,395,618.83
  5. Step 5: Solve for x
    x = 2,395,618.83/1,606.89
  6. Step 6: Final answer
    x = 1,490.84

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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.