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Finding the Fourth Proportional to 3,098.63, 4,271.89 and 2,212.89

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Solution

The fourth proportional to 3,098.63, 4,271.89 and 2,212.89 is: 3,050.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.63 : 4,271.89 = 2,212.89 : x
  2. Step 2: Convert to fraction form
    3,098.63/4,271.89 = 2,212.89/x
  3. Step 3: Cross multiply
    3,098.63x = 4,271.89 × 2,212.89
  4. Step 4: Simplify right side
    3,098.63x = 9,453,222.66
  5. Step 5: Solve for x
    x = 9,453,222.66/3,098.63
  6. Step 6: Final answer
    x = 3,050.77

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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.