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Finding the Fourth Proportional to 1,683.34, 2,323.14 and 1,262.92

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Solution

The fourth proportional to 1,683.34, 2,323.14 and 1,262.92 is: 1,742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.34 : 2,323.14 = 1,262.92 : x
  2. Step 2: Convert to fraction form
    1,683.34/2,323.14 = 1,262.92/x
  3. Step 3: Cross multiply
    1,683.34x = 2,323.14 × 1,262.92
  4. Step 4: Simplify right side
    1,683.34x = 2,933,939.97
  5. Step 5: Solve for x
    x = 2,933,939.97/1,683.34
  6. Step 6: Final answer
    x = 1,742.93

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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.