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Finding the Fourth Proportional to 4,612.54, 6,919.20 and 2,017.30

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Solution

The fourth proportional to 4,612.54, 6,919.20 and 2,017.30 is: 3,026.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.54 : 6,919.20 = 2,017.30 : x
  2. Step 2: Convert to fraction form
    4,612.54/6,919.20 = 2,017.30/x
  3. Step 3: Cross multiply
    4,612.54x = 6,919.20 × 2,017.30
  4. Step 4: Simplify right side
    4,612.54x = 13,958,102.16
  5. Step 5: Solve for x
    x = 13,958,102.16/4,612.54
  6. Step 6: Final answer
    x = 3,026.12

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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.