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Finding the Fourth Proportional to 2,805.60, 4,208.40 and 2,287.20

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Solution

The fourth proportional to 2,805.60, 4,208.40 and 2,287.20 is: 3,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.60 : 4,208.40 = 2,287.20 : x
  2. Step 2: Convert to fraction form
    2,805.60/4,208.40 = 2,287.20/x
  3. Step 3: Cross multiply
    2,805.60x = 4,208.40 × 2,287.20
  4. Step 4: Simplify right side
    2,805.60x = 9,625,452.48
  5. Step 5: Solve for x
    x = 9,625,452.48/2,805.60
  6. Step 6: Final answer
    x = 3,430.80

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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.