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Finding the Fourth Proportional to 1,467.94, 2,014.70 and 1,342.80

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Solution

The fourth proportional to 1,467.94, 2,014.70 and 1,342.80 is: 1,842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.94 : 2,014.70 = 1,342.80 : x
  2. Step 2: Convert to fraction form
    1,467.94/2,014.70 = 1,342.80/x
  3. Step 3: Cross multiply
    1,467.94x = 2,014.70 × 1,342.80
  4. Step 4: Simplify right side
    1,467.94x = 2,705,339.16
  5. Step 5: Solve for x
    x = 2,705,339.16/1,467.94
  6. Step 6: Final answer
    x = 1,842.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.