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Finding the Fourth Proportional to 2,541.99, 3,813.59 and 898.09

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Solution

The fourth proportional to 2,541.99, 3,813.59 and 898.09 is: 1,347.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.99 : 3,813.59 = 898.09 : x
  2. Step 2: Convert to fraction form
    2,541.99/3,813.59 = 898.09/x
  3. Step 3: Cross multiply
    2,541.99x = 3,813.59 × 898.09
  4. Step 4: Simplify right side
    2,541.99x = 3,424,947.04
  5. Step 5: Solve for x
    x = 3,424,947.04/2,541.99
  6. Step 6: Final answer
    x = 1,347.35

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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.