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Finding the Fourth Proportional to 2,535.50, 3,499 and 1,431.50

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Solution

The fourth proportional to 2,535.50, 3,499 and 1,431.50 is: 1,975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.50 : 3,499 = 1,431.50 : x
  2. Step 2: Convert to fraction form
    2,535.50/3,499 = 1,431.50/x
  3. Step 3: Cross multiply
    2,535.50x = 3,499 × 1,431.50
  4. Step 4: Simplify right side
    2,535.50x = 5,008,818.50
  5. Step 5: Solve for x
    x = 5,008,818.50/2,535.50
  6. Step 6: Final answer
    x = 1,975.48

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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.