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Finding the Fourth Proportional to 1,606.35, 2,217.02 and 1,164.09

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Solution

The fourth proportional to 1,606.35, 2,217.02 and 1,164.09 is: 1,606.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.35 : 2,217.02 = 1,164.09 : x
  2. Step 2: Convert to fraction form
    1,606.35/2,217.02 = 1,164.09/x
  3. Step 3: Cross multiply
    1,606.35x = 2,217.02 × 1,164.09
  4. Step 4: Simplify right side
    1,606.35x = 2,580,804.99
  5. Step 5: Solve for x
    x = 2,580,804.99/1,606.35
  6. Step 6: Final answer
    x = 1,606.63

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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.