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Finding the Fourth Proportional to 1,427.56, 1,971.97 and 1,076.15

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Solution

The fourth proportional to 1,427.56, 1,971.97 and 1,076.15 is: 1,486.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.56 : 1,971.97 = 1,076.15 : x
  2. Step 2: Convert to fraction form
    1,427.56/1,971.97 = 1,076.15/x
  3. Step 3: Cross multiply
    1,427.56x = 1,971.97 × 1,076.15
  4. Step 4: Simplify right side
    1,427.56x = 2,122,137.76
  5. Step 5: Solve for x
    x = 2,122,137.76/1,427.56
  6. Step 6: Final answer
    x = 1,486.55

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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.