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Finding the Fourth Proportional to 2,576.51, 3,870.03 and 1,700.27

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Solution

The fourth proportional to 2,576.51, 3,870.03 and 1,700.27 is: 2,553.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.51 : 3,870.03 = 1,700.27 : x
  2. Step 2: Convert to fraction form
    2,576.51/3,870.03 = 1,700.27/x
  3. Step 3: Cross multiply
    2,576.51x = 3,870.03 × 1,700.27
  4. Step 4: Simplify right side
    2,576.51x = 6,580,095.91
  5. Step 5: Solve for x
    x = 6,580,095.91/2,576.51
  6. Step 6: Final answer
    x = 2,553.88

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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.