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Finding the Fourth Proportional to 2,288.99, 3,430.80 and 2,029.49

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Solution

The fourth proportional to 2,288.99, 3,430.80 and 2,029.49 is: 3,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.99 : 3,430.80 = 2,029.49 : x
  2. Step 2: Convert to fraction form
    2,288.99/3,430.80 = 2,029.49/x
  3. Step 3: Cross multiply
    2,288.99x = 3,430.80 × 2,029.49
  4. Step 4: Simplify right side
    2,288.99x = 6,962,757.14
  5. Step 5: Solve for x
    x = 6,962,757.14/2,288.99
  6. Step 6: Final answer
    x = 3,041.85

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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.