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Finding the Fourth Proportional to 1,640.45, 2,457.31 and 1,365.65

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Solution

The fourth proportional to 1,640.45, 2,457.31 and 1,365.65 is: 2,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.45 : 2,457.31 = 1,365.65 : x
  2. Step 2: Convert to fraction form
    1,640.45/2,457.31 = 1,365.65/x
  3. Step 3: Cross multiply
    1,640.45x = 2,457.31 × 1,365.65
  4. Step 4: Simplify right side
    1,640.45x = 3,355,825.40
  5. Step 5: Solve for x
    x = 3,355,825.40/1,640.45
  6. Step 6: Final answer
    x = 2,045.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.