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Finding the Fourth Proportional to 2,576.35, 3,862.70 and 1,260.51

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Solution

The fourth proportional to 2,576.35, 3,862.70 and 1,260.51 is: 1,889.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.35 : 3,862.70 = 1,260.51 : x
  2. Step 2: Convert to fraction form
    2,576.35/3,862.70 = 1,260.51/x
  3. Step 3: Cross multiply
    2,576.35x = 3,862.70 × 1,260.51
  4. Step 4: Simplify right side
    2,576.35x = 4,868,971.98
  5. Step 5: Solve for x
    x = 4,868,971.98/2,576.35
  6. Step 6: Final answer
    x = 1,889.87

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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.