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Finding the Fourth Proportional to 2,902.22, 4,006.89 and 2,155.30

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Solution

The fourth proportional to 2,902.22, 4,006.89 and 2,155.30 is: 2,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.22 : 4,006.89 = 2,155.30 : x
  2. Step 2: Convert to fraction form
    2,902.22/4,006.89 = 2,155.30/x
  3. Step 3: Cross multiply
    2,902.22x = 4,006.89 × 2,155.30
  4. Step 4: Simplify right side
    2,902.22x = 8,636,032.58
  5. Step 5: Solve for x
    x = 8,636,032.58/2,902.22
  6. Step 6: Final answer
    x = 2,975.67

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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.