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Finding the Fourth Proportional to 2,695.57, 3,720.05 and 1,516.73

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Solution

The fourth proportional to 2,695.57, 3,720.05 and 1,516.73 is: 2,093.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.57 : 3,720.05 = 1,516.73 : x
  2. Step 2: Convert to fraction form
    2,695.57/3,720.05 = 1,516.73/x
  3. Step 3: Cross multiply
    2,695.57x = 3,720.05 × 1,516.73
  4. Step 4: Simplify right side
    2,695.57x = 5,642,315.23
  5. Step 5: Solve for x
    x = 5,642,315.23/2,695.57
  6. Step 6: Final answer
    x = 2,093.18

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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.