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Finding the Fourth Proportional to 1,525.42, 2,106.17 and 936.15

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Solution

The fourth proportional to 1,525.42, 2,106.17 and 936.15 is: 1,292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.42 : 2,106.17 = 936.15 : x
  2. Step 2: Convert to fraction form
    1,525.42/2,106.17 = 936.15/x
  3. Step 3: Cross multiply
    1,525.42x = 2,106.17 × 936.15
  4. Step 4: Simplify right side
    1,525.42x = 1,971,691.05
  5. Step 5: Solve for x
    x = 1,971,691.05/1,525.42
  6. Step 6: Final answer
    x = 1,292.56

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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.