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Finding the Fourth Proportional to 2,089.07, 2,880.92 and 1,249.63

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Solution

The fourth proportional to 2,089.07, 2,880.92 and 1,249.63 is: 1,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.07 : 2,880.92 = 1,249.63 : x
  2. Step 2: Convert to fraction form
    2,089.07/2,880.92 = 1,249.63/x
  3. Step 3: Cross multiply
    2,089.07x = 2,880.92 × 1,249.63
  4. Step 4: Simplify right side
    2,089.07x = 3,600,084.06
  5. Step 5: Solve for x
    x = 3,600,084.06/2,089.07
  6. Step 6: Final answer
    x = 1,723.30

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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.