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Finding the Fourth Proportional to 2,647.68, 3,970.08 and 2,184

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Solution

The fourth proportional to 2,647.68, 3,970.08 and 2,184 is: 3,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.68 : 3,970.08 = 2,184 : x
  2. Step 2: Convert to fraction form
    2,647.68/3,970.08 = 2,184/x
  3. Step 3: Cross multiply
    2,647.68x = 3,970.08 × 2,184
  4. Step 4: Simplify right side
    2,647.68x = 8,670,654.72
  5. Step 5: Solve for x
    x = 8,670,654.72/2,647.68
  6. Step 6: Final answer
    x = 3,274.81

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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.