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Finding the Fourth Proportional to 1,683.90, 2,324.70 and 1,291.68

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Solution

The fourth proportional to 1,683.90, 2,324.70 and 1,291.68 is: 1,783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.90 : 2,324.70 = 1,291.68 : x
  2. Step 2: Convert to fraction form
    1,683.90/2,324.70 = 1,291.68/x
  3. Step 3: Cross multiply
    1,683.90x = 2,324.70 × 1,291.68
  4. Step 4: Simplify right side
    1,683.90x = 3,002,768.50
  5. Step 5: Solve for x
    x = 3,002,768.50/1,683.90
  6. Step 6: Final answer
    x = 1,783.22

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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.