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Finding the Fourth Proportional to 2,662.60, 3,994.30 and 930.76

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Solution

The fourth proportional to 2,662.60, 3,994.30 and 930.76 is: 1,396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.60 : 3,994.30 = 930.76 : x
  2. Step 2: Convert to fraction form
    2,662.60/3,994.30 = 930.76/x
  3. Step 3: Cross multiply
    2,662.60x = 3,994.30 × 930.76
  4. Step 4: Simplify right side
    2,662.60x = 3,717,734.67
  5. Step 5: Solve for x
    x = 3,717,734.67/2,662.60
  6. Step 6: Final answer
    x = 1,396.28

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1.5x scale

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.