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Finding the Fourth Proportional to 4,612.87, 6,919.24 and 2,146.32

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Solution

The fourth proportional to 4,612.87, 6,919.24 and 2,146.32 is: 3,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.87 : 6,919.24 = 2,146.32 : x
  2. Step 2: Convert to fraction form
    4,612.87/6,919.24 = 2,146.32/x
  3. Step 3: Cross multiply
    4,612.87x = 6,919.24 × 2,146.32
  4. Step 4: Simplify right side
    4,612.87x = 14,850,903.20
  5. Step 5: Solve for x
    x = 14,850,903.20/4,612.87
  6. Step 6: Final answer
    x = 3,219.45

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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.