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Finding the Fourth Proportional to 2,962.19, 4,443.42 and 771.14

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Solution

The fourth proportional to 2,962.19, 4,443.42 and 771.14 is: 1,156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.19 : 4,443.42 = 771.14 : x
  2. Step 2: Convert to fraction form
    2,962.19/4,443.42 = 771.14/x
  3. Step 3: Cross multiply
    2,962.19x = 4,443.42 × 771.14
  4. Step 4: Simplify right side
    2,962.19x = 3,426,498.90
  5. Step 5: Solve for x
    x = 3,426,498.90/2,962.19
  6. Step 6: Final answer
    x = 1,156.75

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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.