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Finding the Fourth Proportional to 2,415.61, 3,622.70 and 771.71

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Solution

The fourth proportional to 2,415.61, 3,622.70 and 771.71 is: 1,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.61 : 3,622.70 = 771.71 : x
  2. Step 2: Convert to fraction form
    2,415.61/3,622.70 = 771.71/x
  3. Step 3: Cross multiply
    2,415.61x = 3,622.70 × 771.71
  4. Step 4: Simplify right side
    2,415.61x = 2,795,684.80
  5. Step 5: Solve for x
    x = 2,795,684.80/2,415.61
  6. Step 6: Final answer
    x = 1,157.34

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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.