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Finding the Fourth Proportional to 2,222.83, 3,333.56 and 761.64

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Solution

The fourth proportional to 2,222.83, 3,333.56 and 761.64 is: 1,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.83 : 3,333.56 = 761.64 : x
  2. Step 2: Convert to fraction form
    2,222.83/3,333.56 = 761.64/x
  3. Step 3: Cross multiply
    2,222.83x = 3,333.56 × 761.64
  4. Step 4: Simplify right side
    2,222.83x = 2,538,972.64
  5. Step 5: Solve for x
    x = 2,538,972.64/2,222.83
  6. Step 6: Final answer
    x = 1,142.23

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1.5x scale

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.