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Finding the Fourth Proportional to 1,683.32, 2,322.84 and 937.22

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Solution

The fourth proportional to 1,683.32, 2,322.84 and 937.22 is: 1,293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.32 : 2,322.84 = 937.22 : x
  2. Step 2: Convert to fraction form
    1,683.32/2,322.84 = 937.22/x
  3. Step 3: Cross multiply
    1,683.32x = 2,322.84 × 937.22
  4. Step 4: Simplify right side
    1,683.32x = 2,177,012.10
  5. Step 5: Solve for x
    x = 2,177,012.10/1,683.32
  6. Step 6: Final answer
    x = 1,293.28

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1.5x scale

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.