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Finding the Fourth Proportional to 2,070.50, 3,104.66 and 770.90

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Solution

The fourth proportional to 2,070.50, 3,104.66 and 770.90 is: 1,155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.50 : 3,104.66 = 770.90 : x
  2. Step 2: Convert to fraction form
    2,070.50/3,104.66 = 770.90/x
  3. Step 3: Cross multiply
    2,070.50x = 3,104.66 × 770.90
  4. Step 4: Simplify right side
    2,070.50x = 2,393,368.80
  5. Step 5: Solve for x
    x = 2,393,368.80/2,070.50
  6. Step 6: Final answer
    x = 1,155.94

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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.