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Finding the Fourth Proportional to 3,102.09, 4,646.97 and 1,453.63

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Solution

The fourth proportional to 3,102.09, 4,646.97 and 1,453.63 is: 2,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.09 : 4,646.97 = 1,453.63 : x
  2. Step 2: Convert to fraction form
    3,102.09/4,646.97 = 1,453.63/x
  3. Step 3: Cross multiply
    3,102.09x = 4,646.97 × 1,453.63
  4. Step 4: Simplify right side
    3,102.09x = 6,754,975.00
  5. Step 5: Solve for x
    x = 6,754,975.00/3,102.09
  6. Step 6: Final answer
    x = 2,177.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.