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Finding the Fourth Proportional to 2,705.13, 3,732.87 and 1,525.98

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Solution

The fourth proportional to 2,705.13, 3,732.87 and 1,525.98 is: 2,105.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.13 : 3,732.87 = 1,525.98 : x
  2. Step 2: Convert to fraction form
    2,705.13/3,732.87 = 1,525.98/x
  3. Step 3: Cross multiply
    2,705.13x = 3,732.87 × 1,525.98
  4. Step 4: Simplify right side
    2,705.13x = 5,696,284.96
  5. Step 5: Solve for x
    x = 5,696,284.96/2,705.13
  6. Step 6: Final answer
    x = 2,105.73

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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.