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Finding the Fourth Proportional to 2,045.24, 3,067.80 and 506.24

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Solution

The fourth proportional to 2,045.24, 3,067.80 and 506.24 is: 759.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.24 : 3,067.80 = 506.24 : x
  2. Step 2: Convert to fraction form
    2,045.24/3,067.80 = 506.24/x
  3. Step 3: Cross multiply
    2,045.24x = 3,067.80 × 506.24
  4. Step 4: Simplify right side
    2,045.24x = 1,553,043.07
  5. Step 5: Solve for x
    x = 1,553,043.07/2,045.24
  6. Step 6: Final answer
    x = 759.35

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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.