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Finding the Fourth Proportional to 2,057.58, 2,839.68 and 1,173.46

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Solution

The fourth proportional to 2,057.58, 2,839.68 and 1,173.46 is: 1,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.58 : 2,839.68 = 1,173.46 : x
  2. Step 2: Convert to fraction form
    2,057.58/2,839.68 = 1,173.46/x
  3. Step 3: Cross multiply
    2,057.58x = 2,839.68 × 1,173.46
  4. Step 4: Simplify right side
    2,057.58x = 3,332,250.89
  5. Step 5: Solve for x
    x = 3,332,250.89/2,057.58
  6. Step 6: Final answer
    x = 1,619.50

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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.