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Finding the Fourth Proportional to 1,525.41, 2,105.01 and 853.26

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Solution

The fourth proportional to 1,525.41, 2,105.01 and 853.26 is: 1,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.41 : 2,105.01 = 853.26 : x
  2. Step 2: Convert to fraction form
    1,525.41/2,105.01 = 853.26/x
  3. Step 3: Cross multiply
    1,525.41x = 2,105.01 × 853.26
  4. Step 4: Simplify right side
    1,525.41x = 1,796,110.31
  5. Step 5: Solve for x
    x = 1,796,110.31/1,525.41
  6. Step 6: Final answer
    x = 1,177.46

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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.