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Finding the Fourth Proportional to 2,070.04, 3,104.10 and 771.16

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Solution

The fourth proportional to 2,070.04, 3,104.10 and 771.16 is: 1,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.04 : 3,104.10 = 771.16 : x
  2. Step 2: Convert to fraction form
    2,070.04/3,104.10 = 771.16/x
  3. Step 3: Cross multiply
    2,070.04x = 3,104.10 × 771.16
  4. Step 4: Simplify right side
    2,070.04x = 2,393,757.76
  5. Step 5: Solve for x
    x = 2,393,757.76/2,070.04
  6. Step 6: Final answer
    x = 1,156.38

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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.