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Finding the Fourth Proportional to 2,962.58, 4,443.33 and 771.17

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Solution

The fourth proportional to 2,962.58, 4,443.33 and 771.17 is: 1,156.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.58 : 4,443.33 = 771.17 : x
  2. Step 2: Convert to fraction form
    2,962.58/4,443.33 = 771.17/x
  3. Step 3: Cross multiply
    2,962.58x = 4,443.33 × 771.17
  4. Step 4: Simplify right side
    2,962.58x = 3,426,573.90
  5. Step 5: Solve for x
    x = 3,426,573.90/2,962.58
  6. Step 6: Final answer
    x = 1,156.62

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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.