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Finding the Fourth Proportional to 3,009.48, 4,153.17 and 1,683.23

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Solution

The fourth proportional to 3,009.48, 4,153.17 and 1,683.23 is: 2,322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.48 : 4,153.17 = 1,683.23 : x
  2. Step 2: Convert to fraction form
    3,009.48/4,153.17 = 1,683.23/x
  3. Step 3: Cross multiply
    3,009.48x = 4,153.17 × 1,683.23
  4. Step 4: Simplify right side
    3,009.48x = 6,990,749.25
  5. Step 5: Solve for x
    x = 6,990,749.25/3,009.48
  6. Step 6: Final answer
    x = 2,322.91

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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.