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Finding the Fourth Proportional to 1,427.82, 1,971.32 and 1,278.18

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Solution

The fourth proportional to 1,427.82, 1,971.32 and 1,278.18 is: 1,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.82 : 1,971.32 = 1,278.18 : x
  2. Step 2: Convert to fraction form
    1,427.82/1,971.32 = 1,278.18/x
  3. Step 3: Cross multiply
    1,427.82x = 1,971.32 × 1,278.18
  4. Step 4: Simplify right side
    1,427.82x = 2,519,695.41
  5. Step 5: Solve for x
    x = 2,519,695.41/1,427.82
  6. Step 6: Final answer
    x = 1,764.72

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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.