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Finding the Fourth Proportional to 2,695.00, 4,034.97 and 1,457.97

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Solution

The fourth proportional to 2,695.00, 4,034.97 and 1,457.97 is: 2,182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.00 : 4,034.97 = 1,457.97 : x
  2. Step 2: Convert to fraction form
    2,695.00/4,034.97 = 1,457.97/x
  3. Step 3: Cross multiply
    2,695.00x = 4,034.97 × 1,457.97
  4. Step 4: Simplify right side
    2,695.00x = 5,882,865.21
  5. Step 5: Solve for x
    x = 5,882,865.21/2,695.00
  6. Step 6: Final answer
    x = 2,182.88

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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.