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Finding the Fourth Proportional to 2,070.34, 3,106.37 and 771.46

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Solution

The fourth proportional to 2,070.34, 3,106.37 and 771.46 is: 1,157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.34 : 3,106.37 = 771.46 : x
  2. Step 2: Convert to fraction form
    2,070.34/3,106.37 = 771.46/x
  3. Step 3: Cross multiply
    2,070.34x = 3,106.37 × 771.46
  4. Step 4: Simplify right side
    2,070.34x = 2,396,440.20
  5. Step 5: Solve for x
    x = 2,396,440.20/2,070.34
  6. Step 6: Final answer
    x = 1,157.51

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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.