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Finding the Fourth Proportional to 1,522.26, 2,101.01 and 893.07

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Solution

The fourth proportional to 1,522.26, 2,101.01 and 893.07 is: 1,232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.26 : 2,101.01 = 893.07 : x
  2. Step 2: Convert to fraction form
    1,522.26/2,101.01 = 893.07/x
  3. Step 3: Cross multiply
    1,522.26x = 2,101.01 × 893.07
  4. Step 4: Simplify right side
    1,522.26x = 1,876,344.54
  5. Step 5: Solve for x
    x = 1,876,344.54/1,522.26
  6. Step 6: Final answer
    x = 1,232.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.