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Finding the Fourth Proportional to 2,795.07, 3,854.01 and 2,289.33

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Solution

The fourth proportional to 2,795.07, 3,854.01 and 2,289.33 is: 3,156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.07 : 3,854.01 = 2,289.33 : x
  2. Step 2: Convert to fraction form
    2,795.07/3,854.01 = 2,289.33/x
  3. Step 3: Cross multiply
    2,795.07x = 3,854.01 × 2,289.33
  4. Step 4: Simplify right side
    2,795.07x = 8,823,100.71
  5. Step 5: Solve for x
    x = 8,823,100.71/2,795.07
  6. Step 6: Final answer
    x = 3,156.67

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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.