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Finding the Fourth Proportional to 2,053.98, 3,083.40 and 900.54

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Solution

The fourth proportional to 2,053.98, 3,083.40 and 900.54 is: 1,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.98 : 3,083.40 = 900.54 : x
  2. Step 2: Convert to fraction form
    2,053.98/3,083.40 = 900.54/x
  3. Step 3: Cross multiply
    2,053.98x = 3,083.40 × 900.54
  4. Step 4: Simplify right side
    2,053.98x = 2,776,725.04
  5. Step 5: Solve for x
    x = 2,776,725.04/2,053.98
  6. Step 6: Final answer
    x = 1,351.88

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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.