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Finding the Fourth Proportional to 2,535.82, 3,499.01 and 1,416.72

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Solution

The fourth proportional to 2,535.82, 3,499.01 and 1,416.72 is: 1,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.82 : 3,499.01 = 1,416.72 : x
  2. Step 2: Convert to fraction form
    2,535.82/3,499.01 = 1,416.72/x
  3. Step 3: Cross multiply
    2,535.82x = 3,499.01 × 1,416.72
  4. Step 4: Simplify right side
    2,535.82x = 4,957,092.87
  5. Step 5: Solve for x
    x = 4,957,092.87/2,535.82
  6. Step 6: Final answer
    x = 1,954.83

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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.