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Finding the Fourth Proportional to 1,524.77, 2,104.19 and 826.15

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Solution

The fourth proportional to 1,524.77, 2,104.19 and 826.15 is: 1,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.77 : 2,104.19 = 826.15 : x
  2. Step 2: Convert to fraction form
    1,524.77/2,104.19 = 826.15/x
  3. Step 3: Cross multiply
    1,524.77x = 2,104.19 × 826.15
  4. Step 4: Simplify right side
    1,524.77x = 1,738,373.37
  5. Step 5: Solve for x
    x = 1,738,373.37/1,524.77
  6. Step 6: Final answer
    x = 1,140.09

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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.