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Finding the Fourth Proportional to 2,287.94, 3,431.60 and 728.10

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Solution

The fourth proportional to 2,287.94, 3,431.60 and 728.10 is: 1,092.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.94 : 3,431.60 = 728.10 : x
  2. Step 2: Convert to fraction form
    2,287.94/3,431.60 = 728.10/x
  3. Step 3: Cross multiply
    2,287.94x = 3,431.60 × 728.10
  4. Step 4: Simplify right side
    2,287.94x = 2,498,547.96
  5. Step 5: Solve for x
    x = 2,498,547.96/2,287.94
  6. Step 6: Final answer
    x = 1,092.05

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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.