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Finding the Fourth Proportional to 1,612.08, 2,224.77 and 1,164.19

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Solution

The fourth proportional to 1,612.08, 2,224.77 and 1,164.19 is: 1,606.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.08 : 2,224.77 = 1,164.19 : x
  2. Step 2: Convert to fraction form
    1,612.08/2,224.77 = 1,164.19/x
  3. Step 3: Cross multiply
    1,612.08x = 2,224.77 × 1,164.19
  4. Step 4: Simplify right side
    1,612.08x = 2,590,054.99
  5. Step 5: Solve for x
    x = 2,590,054.99/1,612.08
  6. Step 6: Final answer
    x = 1,606.65

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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.