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Finding the Fourth Proportional to 2,612.09, 3,915.63 and 968.19

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Solution

The fourth proportional to 2,612.09, 3,915.63 and 968.19 is: 1,451.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.09 : 3,915.63 = 968.19 : x
  2. Step 2: Convert to fraction form
    2,612.09/3,915.63 = 968.19/x
  3. Step 3: Cross multiply
    2,612.09x = 3,915.63 × 968.19
  4. Step 4: Simplify right side
    2,612.09x = 3,791,073.81
  5. Step 5: Solve for x
    x = 3,791,073.81/2,612.09
  6. Step 6: Final answer
    x = 1,451.36

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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.