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Finding the Fourth Proportional to 2,287.99, 3,431.99 and 1,055.17

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Solution

The fourth proportional to 2,287.99, 3,431.99 and 1,055.17 is: 1,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.99 : 3,431.99 = 1,055.17 : x
  2. Step 2: Convert to fraction form
    2,287.99/3,431.99 = 1,055.17/x
  3. Step 3: Cross multiply
    2,287.99x = 3,431.99 × 1,055.17
  4. Step 4: Simplify right side
    2,287.99x = 3,621,332.89
  5. Step 5: Solve for x
    x = 3,621,332.89/2,287.99
  6. Step 6: Final answer
    x = 1,582.76

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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.