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Finding the Fourth Proportional to 2,579.57, 3,869.98 and 824.57

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Solution

The fourth proportional to 2,579.57, 3,869.98 and 824.57 is: 1,237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.57 : 3,869.98 = 824.57 : x
  2. Step 2: Convert to fraction form
    2,579.57/3,869.98 = 824.57/x
  3. Step 3: Cross multiply
    2,579.57x = 3,869.98 × 824.57
  4. Step 4: Simplify right side
    2,579.57x = 3,191,069.41
  5. Step 5: Solve for x
    x = 3,191,069.41/2,579.57
  6. Step 6: Final answer
    x = 1,237.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.