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Finding the Fourth Proportional to 2,184.81, 3,014.57 and 1,300.44

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Solution

The fourth proportional to 2,184.81, 3,014.57 and 1,300.44 is: 1,794.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.81 : 3,014.57 = 1,300.44 : x
  2. Step 2: Convert to fraction form
    2,184.81/3,014.57 = 1,300.44/x
  3. Step 3: Cross multiply
    2,184.81x = 3,014.57 × 1,300.44
  4. Step 4: Simplify right side
    2,184.81x = 3,920,270.66
  5. Step 5: Solve for x
    x = 3,920,270.66/2,184.81
  6. Step 6: Final answer
    x = 1,794.33

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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.