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Finding the Fourth Proportional to 2,812.16, 4,216.92 and 837.06

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Solution

The fourth proportional to 2,812.16, 4,216.92 and 837.06 is: 1,255.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.16 : 4,216.92 = 837.06 : x
  2. Step 2: Convert to fraction form
    2,812.16/4,216.92 = 837.06/x
  3. Step 3: Cross multiply
    2,812.16x = 4,216.92 × 837.06
  4. Step 4: Simplify right side
    2,812.16x = 3,529,815.06
  5. Step 5: Solve for x
    x = 3,529,815.06/2,812.16
  6. Step 6: Final answer
    x = 1,255.20

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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.