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Finding the Fourth Proportional to 2,006.57, 3,008.57 and 837.38

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Solution

The fourth proportional to 2,006.57, 3,008.57 and 837.38 is: 1,255.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.57 : 3,008.57 = 837.38 : x
  2. Step 2: Convert to fraction form
    2,006.57/3,008.57 = 837.38/x
  3. Step 3: Cross multiply
    2,006.57x = 3,008.57 × 837.38
  4. Step 4: Simplify right side
    2,006.57x = 2,519,312.16
  5. Step 5: Solve for x
    x = 2,519,312.16/2,006.57
  6. Step 6: Final answer
    x = 1,255.53

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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.