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Finding the Fourth Proportional to 2,057.32, 2,839.03 and 1,173.41

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Solution

The fourth proportional to 2,057.32, 2,839.03 and 1,173.41 is: 1,619.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.32 : 2,839.03 = 1,173.41 : x
  2. Step 2: Convert to fraction form
    2,057.32/2,839.03 = 1,173.41/x
  3. Step 3: Cross multiply
    2,057.32x = 2,839.03 × 1,173.41
  4. Step 4: Simplify right side
    2,057.32x = 3,331,344.11
  5. Step 5: Solve for x
    x = 3,331,344.11/2,057.32
  6. Step 6: Final answer
    x = 1,619.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.