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Finding the Fourth Proportional to 2,576.00, 3,554.84 and 1,457.15

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Solution

The fourth proportional to 2,576.00, 3,554.84 and 1,457.15 is: 2,010.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.00 : 3,554.84 = 1,457.15 : x
  2. Step 2: Convert to fraction form
    2,576.00/3,554.84 = 1,457.15/x
  3. Step 3: Cross multiply
    2,576.00x = 3,554.84 × 1,457.15
  4. Step 4: Simplify right side
    2,576.00x = 5,179,920.97
  5. Step 5: Solve for x
    x = 5,179,920.97/2,576.00
  6. Step 6: Final answer
    x = 2,010.84

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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.