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Finding the Fourth Proportional to 2,340.69, 3,223.25 and 2,091.91

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Solution

The fourth proportional to 2,340.69, 3,223.25 and 2,091.91 is: 2,880.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.69 : 3,223.25 = 2,091.91 : x
  2. Step 2: Convert to fraction form
    2,340.69/3,223.25 = 2,091.91/x
  3. Step 3: Cross multiply
    2,340.69x = 3,223.25 × 2,091.91
  4. Step 4: Simplify right side
    2,340.69x = 6,742,748.91
  5. Step 5: Solve for x
    x = 6,742,748.91/2,340.69
  6. Step 6: Final answer
    x = 2,880.67

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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.