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Finding the Fourth Proportional to 2,846.58, 4,269.57 and 898.80

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Solution

The fourth proportional to 2,846.58, 4,269.57 and 898.80 is: 1,348.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.58 : 4,269.57 = 898.80 : x
  2. Step 2: Convert to fraction form
    2,846.58/4,269.57 = 898.80/x
  3. Step 3: Cross multiply
    2,846.58x = 4,269.57 × 898.80
  4. Step 4: Simplify right side
    2,846.58x = 3,837,489.52
  5. Step 5: Solve for x
    x = 3,837,489.52/2,846.58
  6. Step 6: Final answer
    x = 1,348.11

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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.