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Finding the Fourth Proportional to 1,525.78, 2,105.18 and 936.10

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Solution

The fourth proportional to 1,525.78, 2,105.18 and 936.10 is: 1,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.78 : 2,105.18 = 936.10 : x
  2. Step 2: Convert to fraction form
    1,525.78/2,105.18 = 936.10/x
  3. Step 3: Cross multiply
    1,525.78x = 2,105.18 × 936.10
  4. Step 4: Simplify right side
    1,525.78x = 1,970,659.00
  5. Step 5: Solve for x
    x = 1,970,659.00/1,525.78
  6. Step 6: Final answer
    x = 1,291.57

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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.