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Finding the Fourth Proportional to 2,824.65, 3,898.26 and 1,645.70

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Solution

The fourth proportional to 2,824.65, 3,898.26 and 1,645.70 is: 2,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.65 : 3,898.26 = 1,645.70 : x
  2. Step 2: Convert to fraction form
    2,824.65/3,898.26 = 1,645.70/x
  3. Step 3: Cross multiply
    2,824.65x = 3,898.26 × 1,645.70
  4. Step 4: Simplify right side
    2,824.65x = 6,415,346.99
  5. Step 5: Solve for x
    x = 6,415,346.99/2,824.65
  6. Step 6: Final answer
    x = 2,271.20

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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.