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Finding the Fourth Proportional to 1,525.05, 2,104.57 and 826.43

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Solution

The fourth proportional to 1,525.05, 2,104.57 and 826.43 is: 1,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.05 : 2,104.57 = 826.43 : x
  2. Step 2: Convert to fraction form
    1,525.05/2,104.57 = 826.43/x
  3. Step 3: Cross multiply
    1,525.05x = 2,104.57 × 826.43
  4. Step 4: Simplify right side
    1,525.05x = 1,739,271.33
  5. Step 5: Solve for x
    x = 1,739,271.33/1,525.05
  6. Step 6: Final answer
    x = 1,140.47

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