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Finding the Fourth Proportional to 1,684.85, 2,325.11 and 938.84

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Solution

The fourth proportional to 1,684.85, 2,325.11 and 938.84 is: 1,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.85 : 2,325.11 = 938.84 : x
  2. Step 2: Convert to fraction form
    1,684.85/2,325.11 = 938.84/x
  3. Step 3: Cross multiply
    1,684.85x = 2,325.11 × 938.84
  4. Step 4: Simplify right side
    1,684.85x = 2,182,889.95
  5. Step 5: Solve for x
    x = 2,182,889.95/1,684.85
  6. Step 6: Final answer
    x = 1,295.60

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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.