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Finding the Fourth Proportional to 2,823.40, 3,898.23 and 2,159.09

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Solution

The fourth proportional to 2,823.40, 3,898.23 and 2,159.09 is: 2,981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.40 : 3,898.23 = 2,159.09 : x
  2. Step 2: Convert to fraction form
    2,823.40/3,898.23 = 2,159.09/x
  3. Step 3: Cross multiply
    2,823.40x = 3,898.23 × 2,159.09
  4. Step 4: Simplify right side
    2,823.40x = 8,416,629.41
  5. Step 5: Solve for x
    x = 8,416,629.41/2,823.40
  6. Step 6: Final answer
    x = 2,981.03

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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.