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Finding the Fourth Proportional to 2,355.26, 3,532.74 and 711.76

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Solution

The fourth proportional to 2,355.26, 3,532.74 and 711.76 is: 1,067.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.26 : 3,532.74 = 711.76 : x
  2. Step 2: Convert to fraction form
    2,355.26/3,532.74 = 711.76/x
  3. Step 3: Cross multiply
    2,355.26x = 3,532.74 × 711.76
  4. Step 4: Simplify right side
    2,355.26x = 2,514,463.02
  5. Step 5: Solve for x
    x = 2,514,463.02/2,355.26
  6. Step 6: Final answer
    x = 1,067.59

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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.