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Finding the Fourth Proportional to 1,427.78, 1,973.94 and 1,366.58

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Solution

The fourth proportional to 1,427.78, 1,973.94 and 1,366.58 is: 1,889.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.78 : 1,973.94 = 1,366.58 : x
  2. Step 2: Convert to fraction form
    1,427.78/1,973.94 = 1,366.58/x
  3. Step 3: Cross multiply
    1,427.78x = 1,973.94 × 1,366.58
  4. Step 4: Simplify right side
    1,427.78x = 2,697,546.93
  5. Step 5: Solve for x
    x = 2,697,546.93/1,427.78
  6. Step 6: Final answer
    x = 1,889.33

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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.