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Finding the Fourth Proportional to 1,683.12, 2,322.70 and 937.14

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Solution

The fourth proportional to 1,683.12, 2,322.70 and 937.14 is: 1,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.12 : 2,322.70 = 937.14 : x
  2. Step 2: Convert to fraction form
    1,683.12/2,322.70 = 937.14/x
  3. Step 3: Cross multiply
    1,683.12x = 2,322.70 × 937.14
  4. Step 4: Simplify right side
    1,683.12x = 2,176,695.08
  5. Step 5: Solve for x
    x = 2,176,695.08/1,683.12
  6. Step 6: Final answer
    x = 1,293.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.