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Finding the Fourth Proportional to 2,815.16, 4,223.14 and 940.41

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Solution

The fourth proportional to 2,815.16, 4,223.14 and 940.41 is: 1,410.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.16 : 4,223.14 = 940.41 : x
  2. Step 2: Convert to fraction form
    2,815.16/4,223.14 = 940.41/x
  3. Step 3: Cross multiply
    2,815.16x = 4,223.14 × 940.41
  4. Step 4: Simplify right side
    2,815.16x = 3,971,480.74
  5. Step 5: Solve for x
    x = 3,971,480.74/2,815.16
  6. Step 6: Final answer
    x = 1,410.75

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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.