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Finding the Fourth Proportional to 2,222.64, 3,334.50 and 761.40

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Solution

The fourth proportional to 2,222.64, 3,334.50 and 761.40 is: 1,142.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.64 : 3,334.50 = 761.40 : x
  2. Step 2: Convert to fraction form
    2,222.64/3,334.50 = 761.40/x
  3. Step 3: Cross multiply
    2,222.64x = 3,334.50 × 761.40
  4. Step 4: Simplify right side
    2,222.64x = 2,538,888.30
  5. Step 5: Solve for x
    x = 2,538,888.30/2,222.64
  6. Step 6: Final answer
    x = 1,142.28

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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.