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Finding the Fourth Proportional to 3,009.86, 4,153.81 and 1,683.69

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Solution

The fourth proportional to 3,009.86, 4,153.81 and 1,683.69 is: 2,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.86 : 4,153.81 = 1,683.69 : x
  2. Step 2: Convert to fraction form
    3,009.86/4,153.81 = 1,683.69/x
  3. Step 3: Cross multiply
    3,009.86x = 4,153.81 × 1,683.69
  4. Step 4: Simplify right side
    3,009.86x = 6,993,699.17
  5. Step 5: Solve for x
    x = 6,993,699.17/3,009.86
  6. Step 6: Final answer
    x = 2,323.60

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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.