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Finding the Fourth Proportional to 2,242.94, 3,362.94 and 782.48

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Solution

The fourth proportional to 2,242.94, 3,362.94 and 782.48 is: 1,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.94 : 3,362.94 = 782.48 : x
  2. Step 2: Convert to fraction form
    2,242.94/3,362.94 = 782.48/x
  3. Step 3: Cross multiply
    2,242.94x = 3,362.94 × 782.48
  4. Step 4: Simplify right side
    2,242.94x = 2,631,433.29
  5. Step 5: Solve for x
    x = 2,631,433.29/2,242.94
  6. Step 6: Final answer
    x = 1,173.21

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Why These Related Problems?

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