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Finding the Fourth Proportional to 2,770.52, 3,822.62 and 1,887.22

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Solution

The fourth proportional to 2,770.52, 3,822.62 and 1,887.22 is: 2,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.52 : 3,822.62 = 1,887.22 : x
  2. Step 2: Convert to fraction form
    2,770.52/3,822.62 = 1,887.22/x
  3. Step 3: Cross multiply
    2,770.52x = 3,822.62 × 1,887.22
  4. Step 4: Simplify right side
    2,770.52x = 7,214,124.92
  5. Step 5: Solve for x
    x = 7,214,124.92/2,770.52
  6. Step 6: Final answer
    x = 2,603.89

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1.5x scale

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.