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Finding the Fourth Proportional to 3,430.80, 4,735.16 and 2,014.80

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Solution

The fourth proportional to 3,430.80, 4,735.16 and 2,014.80 is: 2,780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.80 : 4,735.16 = 2,014.80 : x
  2. Step 2: Convert to fraction form
    3,430.80/4,735.16 = 2,014.80/x
  3. Step 3: Cross multiply
    3,430.80x = 4,735.16 × 2,014.80
  4. Step 4: Simplify right side
    3,430.80x = 9,540,400.37
  5. Step 5: Solve for x
    x = 9,540,400.37/3,430.80
  6. Step 6: Final answer
    x = 2,780.81

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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.