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Finding the Fourth Proportional to 2,535.49, 3,800.10 and 1,436.52

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Solution

The fourth proportional to 2,535.49, 3,800.10 and 1,436.52 is: 2,153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.49 : 3,800.10 = 1,436.52 : x
  2. Step 2: Convert to fraction form
    2,535.49/3,800.10 = 1,436.52/x
  3. Step 3: Cross multiply
    2,535.49x = 3,800.10 × 1,436.52
  4. Step 4: Simplify right side
    2,535.49x = 5,458,921.97
  5. Step 5: Solve for x
    x = 5,458,921.97/2,535.49
  6. Step 6: Final answer
    x = 2,153.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.