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Finding the Fourth Proportional to 3,222, 4,446.36 and 1,750

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Solution

The fourth proportional to 3,222, 4,446.36 and 1,750 is: 2,415.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222 : 4,446.36 = 1,750 : x
  2. Step 2: Convert to fraction form
    3,222/4,446.36 = 1,750/x
  3. Step 3: Cross multiply
    3,222x = 4,446.36 × 1,750
  4. Step 4: Simplify right side
    3,222x = 7,781,130.00
  5. Step 5: Solve for x
    x = 7,781,130.00/3,222
  6. Step 6: Final answer
    x = 2,415.00

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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.