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Finding the Fourth Proportional to 2,257.50, 3,116.19 and 1,699.59

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Solution

The fourth proportional to 2,257.50, 3,116.19 and 1,699.59 is: 2,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.50 : 3,116.19 = 1,699.59 : x
  2. Step 2: Convert to fraction form
    2,257.50/3,116.19 = 1,699.59/x
  3. Step 3: Cross multiply
    2,257.50x = 3,116.19 × 1,699.59
  4. Step 4: Simplify right side
    2,257.50x = 5,296,245.36
  5. Step 5: Solve for x
    x = 5,296,245.36/2,257.50
  6. Step 6: Final answer
    x = 2,346.07

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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.