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Finding the Fourth Proportional to 2,185.35, 3,277.23 and 952.46

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Solution

The fourth proportional to 2,185.35, 3,277.23 and 952.46 is: 1,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.35 : 3,277.23 = 952.46 : x
  2. Step 2: Convert to fraction form
    2,185.35/3,277.23 = 952.46/x
  3. Step 3: Cross multiply
    2,185.35x = 3,277.23 × 952.46
  4. Step 4: Simplify right side
    2,185.35x = 3,121,430.49
  5. Step 5: Solve for x
    x = 3,121,430.49/2,185.35
  6. Step 6: Final answer
    x = 1,428.34

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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.