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Finding the Fourth Proportional to 2,280.65, 3,419.43 and 1,842.44

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Solution

The fourth proportional to 2,280.65, 3,419.43 and 1,842.44 is: 2,762.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.65 : 3,419.43 = 1,842.44 : x
  2. Step 2: Convert to fraction form
    2,280.65/3,419.43 = 1,842.44/x
  3. Step 3: Cross multiply
    2,280.65x = 3,419.43 × 1,842.44
  4. Step 4: Simplify right side
    2,280.65x = 6,300,077.51
  5. Step 5: Solve for x
    x = 6,300,077.51/2,280.65
  6. Step 6: Final answer
    x = 2,762.41

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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.