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Finding the Fourth Proportional to 1,683.34, 2,322.91 and 937.15

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Solution

The fourth proportional to 1,683.34, 2,322.91 and 937.15 is: 1,293.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.34 : 2,322.91 = 937.15 : x
  2. Step 2: Convert to fraction form
    1,683.34/2,322.91 = 937.15/x
  3. Step 3: Cross multiply
    1,683.34x = 2,322.91 × 937.15
  4. Step 4: Simplify right side
    1,683.34x = 2,176,915.11
  5. Step 5: Solve for x
    x = 2,176,915.11/1,683.34
  6. Step 6: Final answer
    x = 1,293.21

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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.