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Finding the Fourth Proportional to 2,414.71, 3,621.99 and 771.35

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Solution

The fourth proportional to 2,414.71, 3,621.99 and 771.35 is: 1,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.71 : 3,621.99 = 771.35 : x
  2. Step 2: Convert to fraction form
    2,414.71/3,621.99 = 771.35/x
  3. Step 3: Cross multiply
    2,414.71x = 3,621.99 × 771.35
  4. Step 4: Simplify right side
    2,414.71x = 2,793,821.99
  5. Step 5: Solve for x
    x = 2,793,821.99/2,414.71
  6. Step 6: Final answer
    x = 1,157.00

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Why These Related Problems?

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