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Finding the Fourth Proportional to 2,996.16, 4,464.12 and 2,828.49

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Solution

The fourth proportional to 2,996.16, 4,464.12 and 2,828.49 is: 4,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.16 : 4,464.12 = 2,828.49 : x
  2. Step 2: Convert to fraction form
    2,996.16/4,464.12 = 2,828.49/x
  3. Step 3: Cross multiply
    2,996.16x = 4,464.12 × 2,828.49
  4. Step 4: Simplify right side
    2,996.16x = 12,626,718.78
  5. Step 5: Solve for x
    x = 12,626,718.78/2,996.16
  6. Step 6: Final answer
    x = 4,214.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.