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Finding the Fourth Proportional to 2,128.71, 3,193.32 and 568.77

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Solution

The fourth proportional to 2,128.71, 3,193.32 and 568.77 is: 853.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.71 : 3,193.32 = 568.77 : x
  2. Step 2: Convert to fraction form
    2,128.71/3,193.32 = 568.77/x
  3. Step 3: Cross multiply
    2,128.71x = 3,193.32 × 568.77
  4. Step 4: Simplify right side
    2,128.71x = 1,816,264.62
  5. Step 5: Solve for x
    x = 1,816,264.62/2,128.71
  6. Step 6: Final answer
    x = 853.22

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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.