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Finding the Fourth Proportional to 1,866.35, 2,797.46 and 770.11

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Solution

The fourth proportional to 1,866.35, 2,797.46 and 770.11 is: 1,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.35 : 2,797.46 = 770.11 : x
  2. Step 2: Convert to fraction form
    1,866.35/2,797.46 = 770.11/x
  3. Step 3: Cross multiply
    1,866.35x = 2,797.46 × 770.11
  4. Step 4: Simplify right side
    1,866.35x = 2,154,353.85
  5. Step 5: Solve for x
    x = 2,154,353.85/1,866.35
  6. Step 6: Final answer
    x = 1,154.32

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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.