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Finding the Fourth Proportional to 2,804.90, 4,202.72 and 1,705.94

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Solution

The fourth proportional to 2,804.90, 4,202.72 and 1,705.94 is: 2,556.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.90 : 4,202.72 = 1,705.94 : x
  2. Step 2: Convert to fraction form
    2,804.90/4,202.72 = 1,705.94/x
  3. Step 3: Cross multiply
    2,804.90x = 4,202.72 × 1,705.94
  4. Step 4: Simplify right side
    2,804.90x = 7,169,588.16
  5. Step 5: Solve for x
    x = 7,169,588.16/2,804.90
  6. Step 6: Final answer
    x = 2,556.09

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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.