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Finding the Fourth Proportional to 2,612.39, 3,917.70 and 946.08

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Solution

The fourth proportional to 2,612.39, 3,917.70 and 946.08 is: 1,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.39 : 3,917.70 = 946.08 : x
  2. Step 2: Convert to fraction form
    2,612.39/3,917.70 = 946.08/x
  3. Step 3: Cross multiply
    2,612.39x = 3,917.70 × 946.08
  4. Step 4: Simplify right side
    2,612.39x = 3,706,457.62
  5. Step 5: Solve for x
    x = 3,706,457.62/2,612.39
  6. Step 6: Final answer
    x = 1,418.80

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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.