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Finding the Fourth Proportional to 2,099.23, 2,895.40 and 1,600.67

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Solution

The fourth proportional to 2,099.23, 2,895.40 and 1,600.67 is: 2,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.23 : 2,895.40 = 1,600.67 : x
  2. Step 2: Convert to fraction form
    2,099.23/2,895.40 = 1,600.67/x
  3. Step 3: Cross multiply
    2,099.23x = 2,895.40 × 1,600.67
  4. Step 4: Simplify right side
    2,099.23x = 4,634,579.92
  5. Step 5: Solve for x
    x = 4,634,579.92/2,099.23
  6. Step 6: Final answer
    x = 2,207.75

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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.