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Finding the Fourth Proportional to 2,586.64, 3,568.97 and 1,467.47

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Solution

The fourth proportional to 2,586.64, 3,568.97 and 1,467.47 is: 2,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.64 : 3,568.97 = 1,467.47 : x
  2. Step 2: Convert to fraction form
    2,586.64/3,568.97 = 1,467.47/x
  3. Step 3: Cross multiply
    2,586.64x = 3,568.97 × 1,467.47
  4. Step 4: Simplify right side
    2,586.64x = 5,237,344.79
  5. Step 5: Solve for x
    x = 5,237,344.79/2,586.64
  6. Step 6: Final answer
    x = 2,024.77

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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.