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Finding the Fourth Proportional to 1,524.45, 2,103.55 and 852.24

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Solution

The fourth proportional to 1,524.45, 2,103.55 and 852.24 is: 1,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.45 : 2,103.55 = 852.24 : x
  2. Step 2: Convert to fraction form
    1,524.45/2,103.55 = 852.24/x
  3. Step 3: Cross multiply
    1,524.45x = 2,103.55 × 852.24
  4. Step 4: Simplify right side
    1,524.45x = 1,792,728.17
  5. Step 5: Solve for x
    x = 1,792,728.17/1,524.45
  6. Step 6: Final answer
    x = 1,175.98

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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.