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Finding the Fourth Proportional to 2,535.98, 3,499.31 and 1,416.78

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Solution

The fourth proportional to 2,535.98, 3,499.31 and 1,416.78 is: 1,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.98 : 3,499.31 = 1,416.78 : x
  2. Step 2: Convert to fraction form
    2,535.98/3,499.31 = 1,416.78/x
  3. Step 3: Cross multiply
    2,535.98x = 3,499.31 × 1,416.78
  4. Step 4: Simplify right side
    2,535.98x = 4,957,745.34
  5. Step 5: Solve for x
    x = 4,957,745.34/2,535.98
  6. Step 6: Final answer
    x = 1,954.96

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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.