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Finding the Fourth Proportional to 2,501.66, 3,453.69 and 1,663.50

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Solution

The fourth proportional to 2,501.66, 3,453.69 and 1,663.50 is: 2,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.66 : 3,453.69 = 1,663.50 : x
  2. Step 2: Convert to fraction form
    2,501.66/3,453.69 = 1,663.50/x
  3. Step 3: Cross multiply
    2,501.66x = 3,453.69 × 1,663.50
  4. Step 4: Simplify right side
    2,501.66x = 5,745,213.32
  5. Step 5: Solve for x
    x = 5,745,213.32/2,501.66
  6. Step 6: Final answer
    x = 2,296.56

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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.