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Finding the Fourth Proportional to 1,684.90, 2,325.09 and 938.94

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Solution

The fourth proportional to 1,684.90, 2,325.09 and 938.94 is: 1,295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.90 : 2,325.09 = 938.94 : x
  2. Step 2: Convert to fraction form
    1,684.90/2,325.09 = 938.94/x
  3. Step 3: Cross multiply
    1,684.90x = 2,325.09 × 938.94
  4. Step 4: Simplify right side
    1,684.90x = 2,183,109.50
  5. Step 5: Solve for x
    x = 2,183,109.50/1,684.90
  6. Step 6: Final answer
    x = 1,295.69

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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.