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Finding the Fourth Proportional to 2,826.52, 3,898.06 and 1,830.80

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Solution

The fourth proportional to 2,826.52, 3,898.06 and 1,830.80 is: 2,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.52 : 3,898.06 = 1,830.80 : x
  2. Step 2: Convert to fraction form
    2,826.52/3,898.06 = 1,830.80/x
  3. Step 3: Cross multiply
    2,826.52x = 3,898.06 × 1,830.80
  4. Step 4: Simplify right side
    2,826.52x = 7,136,568.25
  5. Step 5: Solve for x
    x = 7,136,568.25/2,826.52
  6. Step 6: Final answer
    x = 2,524.86

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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.