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Finding the Fourth Proportional to 1,922.92, 2,652.69 and 1,176.64

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Solution

The fourth proportional to 1,922.92, 2,652.69 and 1,176.64 is: 1,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.92 : 2,652.69 = 1,176.64 : x
  2. Step 2: Convert to fraction form
    1,922.92/2,652.69 = 1,176.64/x
  3. Step 3: Cross multiply
    1,922.92x = 2,652.69 × 1,176.64
  4. Step 4: Simplify right side
    1,922.92x = 3,121,261.16
  5. Step 5: Solve for x
    x = 3,121,261.16/1,922.92
  6. Step 6: Final answer
    x = 1,623.19

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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.