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Finding the Fourth Proportional to 1,932.95, 2,667.30 and 1,093.72

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Solution

The fourth proportional to 1,932.95, 2,667.30 and 1,093.72 is: 1,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.95 : 2,667.30 = 1,093.72 : x
  2. Step 2: Convert to fraction form
    1,932.95/2,667.30 = 1,093.72/x
  3. Step 3: Cross multiply
    1,932.95x = 2,667.30 × 1,093.72
  4. Step 4: Simplify right side
    1,932.95x = 2,917,279.36
  5. Step 5: Solve for x
    x = 2,917,279.36/1,932.95
  6. Step 6: Final answer
    x = 1,509.24

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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.