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Finding the Fourth Proportional to 3,009.54, 4,153.22 and 1,683.24

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Solution

The fourth proportional to 3,009.54, 4,153.22 and 1,683.24 is: 2,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.54 : 4,153.22 = 1,683.24 : x
  2. Step 2: Convert to fraction form
    3,009.54/4,153.22 = 1,683.24/x
  3. Step 3: Cross multiply
    3,009.54x = 4,153.22 × 1,683.24
  4. Step 4: Simplify right side
    3,009.54x = 6,990,866.03
  5. Step 5: Solve for x
    x = 6,990,866.03/3,009.54
  6. Step 6: Final answer
    x = 2,322.90

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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.