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Finding the Fourth Proportional to 2,806.70, 4,203.57 and 1,830.38

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Solution

The fourth proportional to 2,806.70, 4,203.57 and 1,830.38 is: 2,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.70 : 4,203.57 = 1,830.38 : x
  2. Step 2: Convert to fraction form
    2,806.70/4,203.57 = 1,830.38/x
  3. Step 3: Cross multiply
    2,806.70x = 4,203.57 × 1,830.38
  4. Step 4: Simplify right side
    2,806.70x = 7,694,130.46
  5. Step 5: Solve for x
    x = 7,694,130.46/2,806.70
  6. Step 6: Final answer
    x = 2,741.34

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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.