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Finding the Fourth Proportional to 2,020.70, 2,788.09 and 1,549.09

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Solution

The fourth proportional to 2,020.70, 2,788.09 and 1,549.09 is: 2,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.70 : 2,788.09 = 1,549.09 : x
  2. Step 2: Convert to fraction form
    2,020.70/2,788.09 = 1,549.09/x
  3. Step 3: Cross multiply
    2,020.70x = 2,788.09 × 1,549.09
  4. Step 4: Simplify right side
    2,020.70x = 4,319,002.34
  5. Step 5: Solve for x
    x = 4,319,002.34/2,020.70
  6. Step 6: Final answer
    x = 2,137.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.