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Finding the Fourth Proportional to 2,384.84, 3,577.68 and 825.02

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Solution

The fourth proportional to 2,384.84, 3,577.68 and 825.02 is: 1,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.84 : 3,577.68 = 825.02 : x
  2. Step 2: Convert to fraction form
    2,384.84/3,577.68 = 825.02/x
  3. Step 3: Cross multiply
    2,384.84x = 3,577.68 × 825.02
  4. Step 4: Simplify right side
    2,384.84x = 2,951,657.55
  5. Step 5: Solve for x
    x = 2,951,657.55/2,384.84
  6. Step 6: Final answer
    x = 1,237.68

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Why These Related Problems?

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