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Finding the Fourth Proportional to 3,009.83, 4,153.50 and 1,683.66

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Solution

The fourth proportional to 3,009.83, 4,153.50 and 1,683.66 is: 2,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.83 : 4,153.50 = 1,683.66 : x
  2. Step 2: Convert to fraction form
    3,009.83/4,153.50 = 1,683.66/x
  3. Step 3: Cross multiply
    3,009.83x = 4,153.50 × 1,683.66
  4. Step 4: Simplify right side
    3,009.83x = 6,993,081.81
  5. Step 5: Solve for x
    x = 6,993,081.81/3,009.83
  6. Step 6: Final answer
    x = 2,323.41

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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.