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Finding the Fourth Proportional to 2,586.47, 3,568.22 and 2,024.69

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Solution

The fourth proportional to 2,586.47, 3,568.22 and 2,024.69 is: 2,793.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.47 : 3,568.22 = 2,024.69 : x
  2. Step 2: Convert to fraction form
    2,586.47/3,568.22 = 2,024.69/x
  3. Step 3: Cross multiply
    2,586.47x = 3,568.22 × 2,024.69
  4. Step 4: Simplify right side
    2,586.47x = 7,224,518.98
  5. Step 5: Solve for x
    x = 7,224,518.98/2,586.47
  6. Step 6: Final answer
    x = 2,793.20

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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.