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Finding the Fourth Proportional to 2,962.42, 4,443.64 and 770.99

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Solution

The fourth proportional to 2,962.42, 4,443.64 and 770.99 is: 1,156.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.42 : 4,443.64 = 770.99 : x
  2. Step 2: Convert to fraction form
    2,962.42/4,443.64 = 770.99/x
  3. Step 3: Cross multiply
    2,962.42x = 4,443.64 × 770.99
  4. Step 4: Simplify right side
    2,962.42x = 3,425,977.86
  5. Step 5: Solve for x
    x = 3,425,977.86/2,962.42
  6. Step 6: Final answer
    x = 1,156.48

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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.