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Finding the Fourth Proportional to 2,071.50, 3,106.16 and 771.90

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Solution

The fourth proportional to 2,071.50, 3,106.16 and 771.90 is: 1,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.50 : 3,106.16 = 771.90 : x
  2. Step 2: Convert to fraction form
    2,071.50/3,106.16 = 771.90/x
  3. Step 3: Cross multiply
    2,071.50x = 3,106.16 × 771.90
  4. Step 4: Simplify right side
    2,071.50x = 2,397,644.90
  5. Step 5: Solve for x
    x = 2,397,644.90/2,071.50
  6. Step 6: Final answer
    x = 1,157.44

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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.