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Finding the Fourth Proportional to 2,586.66, 3,569.80 and 1,467.64

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Solution

The fourth proportional to 2,586.66, 3,569.80 and 1,467.64 is: 2,025.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.66 : 3,569.80 = 1,467.64 : x
  2. Step 2: Convert to fraction form
    2,586.66/3,569.80 = 1,467.64/x
  3. Step 3: Cross multiply
    2,586.66x = 3,569.80 × 1,467.64
  4. Step 4: Simplify right side
    2,586.66x = 5,239,181.27
  5. Step 5: Solve for x
    x = 5,239,181.27/2,586.66
  6. Step 6: Final answer
    x = 2,025.46

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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.