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Finding the Fourth Proportional to 1,467.72, 2,027.23 and 1,068.74

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Solution

The fourth proportional to 1,467.72, 2,027.23 and 1,068.74 is: 1,476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.72 : 2,027.23 = 1,068.74 : x
  2. Step 2: Convert to fraction form
    1,467.72/2,027.23 = 1,068.74/x
  3. Step 3: Cross multiply
    1,467.72x = 2,027.23 × 1,068.74
  4. Step 4: Simplify right side
    1,467.72x = 2,166,587.99
  5. Step 5: Solve for x
    x = 2,166,587.99/1,467.72
  6. Step 6: Final answer
    x = 1,476.16

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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.