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Finding the Fourth Proportional to 1,683.40, 2,316.18 and 1,644.52

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Solution

The fourth proportional to 1,683.40, 2,316.18 and 1,644.52 is: 2,262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.40 : 2,316.18 = 1,644.52 : x
  2. Step 2: Convert to fraction form
    1,683.40/2,316.18 = 1,644.52/x
  3. Step 3: Cross multiply
    1,683.40x = 2,316.18 × 1,644.52
  4. Step 4: Simplify right side
    1,683.40x = 3,809,004.33
  5. Step 5: Solve for x
    x = 3,809,004.33/1,683.40
  6. Step 6: Final answer
    x = 2,262.69

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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.