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Finding the Fourth Proportional to 3,460.70, 5,192.94 and 1,612.68

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Solution

The fourth proportional to 3,460.70, 5,192.94 and 1,612.68 is: 2,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.70 : 5,192.94 = 1,612.68 : x
  2. Step 2: Convert to fraction form
    3,460.70/5,192.94 = 1,612.68/x
  3. Step 3: Cross multiply
    3,460.70x = 5,192.94 × 1,612.68
  4. Step 4: Simplify right side
    3,460.70x = 8,374,550.48
  5. Step 5: Solve for x
    x = 8,374,550.48/3,460.70
  6. Step 6: Final answer
    x = 2,419.90

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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.