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Finding the Fourth Proportional to 2,592.87, 3,880 and 1,491.83

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Solution

The fourth proportional to 2,592.87, 3,880 and 1,491.83 is: 2,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.87 : 3,880 = 1,491.83 : x
  2. Step 2: Convert to fraction form
    2,592.87/3,880 = 1,491.83/x
  3. Step 3: Cross multiply
    2,592.87x = 3,880 × 1,491.83
  4. Step 4: Simplify right side
    2,592.87x = 5,788,300.40
  5. Step 5: Solve for x
    x = 5,788,300.40/2,592.87
  6. Step 6: Final answer
    x = 2,232.39

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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.