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Finding the Fourth Proportional to 2,586.54, 3,569.46 and 1,467.45

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Solution

The fourth proportional to 2,586.54, 3,569.46 and 1,467.45 is: 2,025.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.54 : 3,569.46 = 1,467.45 : x
  2. Step 2: Convert to fraction form
    2,586.54/3,569.46 = 1,467.45/x
  3. Step 3: Cross multiply
    2,586.54x = 3,569.46 × 1,467.45
  4. Step 4: Simplify right side
    2,586.54x = 5,238,004.08
  5. Step 5: Solve for x
    x = 5,238,004.08/2,586.54
  6. Step 6: Final answer
    x = 2,025.10

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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.