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Finding the Fourth Proportional to 1,375.44, 1,894.25 and 1,060.14

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Solution

The fourth proportional to 1,375.44, 1,894.25 and 1,060.14 is: 1,460.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.44 : 1,894.25 = 1,060.14 : x
  2. Step 2: Convert to fraction form
    1,375.44/1,894.25 = 1,060.14/x
  3. Step 3: Cross multiply
    1,375.44x = 1,894.25 × 1,060.14
  4. Step 4: Simplify right side
    1,375.44x = 2,008,164.89
  5. Step 5: Solve for x
    x = 2,008,164.89/1,375.44
  6. Step 6: Final answer
    x = 1,460.02

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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.