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Finding the Fourth Proportional to 2,478.09, 3,717.16 and 812.19

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Solution

The fourth proportional to 2,478.09, 3,717.16 and 812.19 is: 1,218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.09 : 3,717.16 = 812.19 : x
  2. Step 2: Convert to fraction form
    2,478.09/3,717.16 = 812.19/x
  3. Step 3: Cross multiply
    2,478.09x = 3,717.16 × 812.19
  4. Step 4: Simplify right side
    2,478.09x = 3,019,056.66
  5. Step 5: Solve for x
    x = 3,019,056.66/2,478.09
  6. Step 6: Final answer
    x = 1,218.30

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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.