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Finding the Fourth Proportional to 1,684.10, 2,523.45 and 861.14

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Solution

The fourth proportional to 1,684.10, 2,523.45 and 861.14 is: 1,290.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.10 : 2,523.45 = 861.14 : x
  2. Step 2: Convert to fraction form
    1,684.10/2,523.45 = 861.14/x
  3. Step 3: Cross multiply
    1,684.10x = 2,523.45 × 861.14
  4. Step 4: Simplify right side
    1,684.10x = 2,173,043.73
  5. Step 5: Solve for x
    x = 2,173,043.73/1,684.10
  6. Step 6: Final answer
    x = 1,290.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.