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Finding the Fourth Proportional to 1,683.13, 2,322.72 and 937.05

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Solution

The fourth proportional to 1,683.13, 2,322.72 and 937.05 is: 1,293.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.13 : 2,322.72 = 937.05 : x
  2. Step 2: Convert to fraction form
    1,683.13/2,322.72 = 937.05/x
  3. Step 3: Cross multiply
    1,683.13x = 2,322.72 × 937.05
  4. Step 4: Simplify right side
    1,683.13x = 2,176,504.78
  5. Step 5: Solve for x
    x = 2,176,504.78/1,683.13
  6. Step 6: Final answer
    x = 1,293.13

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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.