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Finding the Fourth Proportional to 2,242.37, 3,362.16 and 1,952.60

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Solution

The fourth proportional to 2,242.37, 3,362.16 and 1,952.60 is: 2,927.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.37 : 3,362.16 = 1,952.60 : x
  2. Step 2: Convert to fraction form
    2,242.37/3,362.16 = 1,952.60/x
  3. Step 3: Cross multiply
    2,242.37x = 3,362.16 × 1,952.60
  4. Step 4: Simplify right side
    2,242.37x = 6,564,936.81
  5. Step 5: Solve for x
    x = 6,564,936.81/2,242.37
  6. Step 6: Final answer
    x = 2,927.68

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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.