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Finding the Fourth Proportional to 2,586.58, 3,569.70 and 1,467.87

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Solution

The fourth proportional to 2,586.58, 3,569.70 and 1,467.87 is: 2,025.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.58 : 3,569.70 = 1,467.87 : x
  2. Step 2: Convert to fraction form
    2,586.58/3,569.70 = 1,467.87/x
  3. Step 3: Cross multiply
    2,586.58x = 3,569.70 × 1,467.87
  4. Step 4: Simplify right side
    2,586.58x = 5,239,847.66
  5. Step 5: Solve for x
    x = 5,239,847.66/2,586.58
  6. Step 6: Final answer
    x = 2,025.78

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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.