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Finding the Fourth Proportional to 2,012.88, 3,019.45 and 696.77

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Solution

The fourth proportional to 2,012.88, 3,019.45 and 696.77 is: 1,045.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.88 : 3,019.45 = 696.77 : x
  2. Step 2: Convert to fraction form
    2,012.88/3,019.45 = 696.77/x
  3. Step 3: Cross multiply
    2,012.88x = 3,019.45 × 696.77
  4. Step 4: Simplify right side
    2,012.88x = 2,103,847.08
  5. Step 5: Solve for x
    x = 2,103,847.08/2,012.88
  6. Step 6: Final answer
    x = 1,045.19

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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.