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Finding the Fourth Proportional to 2,448.90, 3,379.12 and 1,783.69

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Solution

The fourth proportional to 2,448.90, 3,379.12 and 1,783.69 is: 2,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.90 : 3,379.12 = 1,783.69 : x
  2. Step 2: Convert to fraction form
    2,448.90/3,379.12 = 1,783.69/x
  3. Step 3: Cross multiply
    2,448.90x = 3,379.12 × 1,783.69
  4. Step 4: Simplify right side
    2,448.90x = 6,027,289.65
  5. Step 5: Solve for x
    x = 6,027,289.65/2,448.90
  6. Step 6: Final answer
    x = 2,461.22

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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.