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Finding the Fourth Proportional to 2,184.42, 3,014.64 and 1,239.86

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Solution

The fourth proportional to 2,184.42, 3,014.64 and 1,239.86 is: 1,711.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.42 : 3,014.64 = 1,239.86 : x
  2. Step 2: Convert to fraction form
    2,184.42/3,014.64 = 1,239.86/x
  3. Step 3: Cross multiply
    2,184.42x = 3,014.64 × 1,239.86
  4. Step 4: Simplify right side
    2,184.42x = 3,737,731.55
  5. Step 5: Solve for x
    x = 3,737,731.55/2,184.42
  6. Step 6: Final answer
    x = 1,711.09

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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.