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Finding the Fourth Proportional to 2,609.20, 3,600.80 and 1,430.20

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Solution

The fourth proportional to 2,609.20, 3,600.80 and 1,430.20 is: 1,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.20 : 3,600.80 = 1,430.20 : x
  2. Step 2: Convert to fraction form
    2,609.20/3,600.80 = 1,430.20/x
  3. Step 3: Cross multiply
    2,609.20x = 3,600.80 × 1,430.20
  4. Step 4: Simplify right side
    2,609.20x = 5,149,864.16
  5. Step 5: Solve for x
    x = 5,149,864.16/2,609.20
  6. Step 6: Final answer
    x = 1,973.73

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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.