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Finding the Fourth Proportional to 2,962.72, 4,444.34 and 771.45

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Solution

The fourth proportional to 2,962.72, 4,444.34 and 771.45 is: 1,157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.72 : 4,444.34 = 771.45 : x
  2. Step 2: Convert to fraction form
    2,962.72/4,444.34 = 771.45/x
  3. Step 3: Cross multiply
    2,962.72x = 4,444.34 × 771.45
  4. Step 4: Simplify right side
    2,962.72x = 3,428,586.09
  5. Step 5: Solve for x
    x = 3,428,586.09/2,962.72
  6. Step 6: Final answer
    x = 1,157.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.