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Finding the Fourth Proportional to 3,009.34, 4,153.05 and 1,683.04

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Solution

The fourth proportional to 3,009.34, 4,153.05 and 1,683.04 is: 2,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.34 : 4,153.05 = 1,683.04 : x
  2. Step 2: Convert to fraction form
    3,009.34/4,153.05 = 1,683.04/x
  3. Step 3: Cross multiply
    3,009.34x = 4,153.05 × 1,683.04
  4. Step 4: Simplify right side
    3,009.34x = 6,989,749.27
  5. Step 5: Solve for x
    x = 6,989,749.27/3,009.34
  6. Step 6: Final answer
    x = 2,322.69

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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.