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Finding the Fourth Proportional to 1,743.08, 2,612.19 and 921.02

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Solution

The fourth proportional to 1,743.08, 2,612.19 and 921.02 is: 1,380.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.08 : 2,612.19 = 921.02 : x
  2. Step 2: Convert to fraction form
    1,743.08/2,612.19 = 921.02/x
  3. Step 3: Cross multiply
    1,743.08x = 2,612.19 × 921.02
  4. Step 4: Simplify right side
    1,743.08x = 2,405,879.23
  5. Step 5: Solve for x
    x = 2,405,879.23/1,743.08
  6. Step 6: Final answer
    x = 1,380.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.