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Finding the Fourth Proportional to 1,625.72, 2,242.44 and 962.12

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Solution

The fourth proportional to 1,625.72, 2,242.44 and 962.12 is: 1,327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.72 : 2,242.44 = 962.12 : x
  2. Step 2: Convert to fraction form
    1,625.72/2,242.44 = 962.12/x
  3. Step 3: Cross multiply
    1,625.72x = 2,242.44 × 962.12
  4. Step 4: Simplify right side
    1,625.72x = 2,157,485.16
  5. Step 5: Solve for x
    x = 2,157,485.16/1,625.72
  6. Step 6: Final answer
    x = 1,327.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.