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Finding the Fourth Proportional to 3,012.84, 4,509.84 and 2,023.68

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Solution

The fourth proportional to 3,012.84, 4,509.84 and 2,023.68 is: 3,029.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.84 : 4,509.84 = 2,023.68 : x
  2. Step 2: Convert to fraction form
    3,012.84/4,509.84 = 2,023.68/x
  3. Step 3: Cross multiply
    3,012.84x = 4,509.84 × 2,023.68
  4. Step 4: Simplify right side
    3,012.84x = 9,126,473.01
  5. Step 5: Solve for x
    x = 9,126,473.01/3,012.84
  6. Step 6: Final answer
    x = 3,029.19

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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.