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Finding the Fourth Proportional to 2,801.80, 4,202.70 and 2,590.60

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Solution

The fourth proportional to 2,801.80, 4,202.70 and 2,590.60 is: 3,885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.80 : 4,202.70 = 2,590.60 : x
  2. Step 2: Convert to fraction form
    2,801.80/4,202.70 = 2,590.60/x
  3. Step 3: Cross multiply
    2,801.80x = 4,202.70 × 2,590.60
  4. Step 4: Simplify right side
    2,801.80x = 10,887,514.62
  5. Step 5: Solve for x
    x = 10,887,514.62/2,801.80
  6. Step 6: Final answer
    x = 3,885.90

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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.