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Finding the Fourth Proportional to 2,124.46, 3,186.08 and 825.63

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Solution

The fourth proportional to 2,124.46, 3,186.08 and 825.63 is: 1,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.46 : 3,186.08 = 825.63 : x
  2. Step 2: Convert to fraction form
    2,124.46/3,186.08 = 825.63/x
  3. Step 3: Cross multiply
    2,124.46x = 3,186.08 × 825.63
  4. Step 4: Simplify right side
    2,124.46x = 2,630,523.23
  5. Step 5: Solve for x
    x = 2,630,523.23/2,124.46
  6. Step 6: Final answer
    x = 1,238.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.