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Finding the Fourth Proportional to 2,552.02, 3,827.99 and 1,013.02

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Solution

The fourth proportional to 2,552.02, 3,827.99 and 1,013.02 is: 1,519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.02 : 3,827.99 = 1,013.02 : x
  2. Step 2: Convert to fraction form
    2,552.02/3,827.99 = 1,013.02/x
  3. Step 3: Cross multiply
    2,552.02x = 3,827.99 × 1,013.02
  4. Step 4: Simplify right side
    2,552.02x = 3,877,830.43
  5. Step 5: Solve for x
    x = 3,877,830.43/2,552.02
  6. Step 6: Final answer
    x = 1,519.51

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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.