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Finding the Fourth Proportional to 3,009.99, 4,153.75 and 1,683.82

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Solution

The fourth proportional to 3,009.99, 4,153.75 and 1,683.82 is: 2,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.99 : 4,153.75 = 1,683.82 : x
  2. Step 2: Convert to fraction form
    3,009.99/4,153.75 = 1,683.82/x
  3. Step 3: Cross multiply
    3,009.99x = 4,153.75 × 1,683.82
  4. Step 4: Simplify right side
    3,009.99x = 6,994,167.33
  5. Step 5: Solve for x
    x = 6,994,167.33/3,009.99
  6. Step 6: Final answer
    x = 2,323.65

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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.