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Finding the Fourth Proportional to 2,586, 3,568.74 and 1,466.76

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Solution

The fourth proportional to 2,586, 3,568.74 and 1,466.76 is: 2,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586 : 3,568.74 = 1,466.76 : x
  2. Step 2: Convert to fraction form
    2,586/3,568.74 = 1,466.76/x
  3. Step 3: Cross multiply
    2,586x = 3,568.74 × 1,466.76
  4. Step 4: Simplify right side
    2,586x = 5,234,485.08
  5. Step 5: Solve for x
    x = 5,234,485.08/2,586
  6. Step 6: Final answer
    x = 2,024.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.