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Finding the Fourth Proportional to 1,846.20, 2,766.42 and 977.88

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Solution

The fourth proportional to 1,846.20, 2,766.42 and 977.88 is: 1,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.20 : 2,766.42 = 977.88 : x
  2. Step 2: Convert to fraction form
    1,846.20/2,766.42 = 977.88/x
  3. Step 3: Cross multiply
    1,846.20x = 2,766.42 × 977.88
  4. Step 4: Simplify right side
    1,846.20x = 2,705,226.79
  5. Step 5: Solve for x
    x = 2,705,226.79/1,846.20
  6. Step 6: Final answer
    x = 1,465.29

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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.