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Finding the Fourth Proportional to 2,109.89, 2,915.51 and 1,829.22

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Solution

The fourth proportional to 2,109.89, 2,915.51 and 1,829.22 is: 2,527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.89 : 2,915.51 = 1,829.22 : x
  2. Step 2: Convert to fraction form
    2,109.89/2,915.51 = 1,829.22/x
  3. Step 3: Cross multiply
    2,109.89x = 2,915.51 × 1,829.22
  4. Step 4: Simplify right side
    2,109.89x = 5,333,100.06
  5. Step 5: Solve for x
    x = 5,333,100.06/2,109.89
  6. Step 6: Final answer
    x = 2,527.67

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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.