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Finding the Fourth Proportional to 1,873.43, 2,809.16 and 936.23

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Solution

The fourth proportional to 1,873.43, 2,809.16 and 936.23 is: 1,403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.43 : 2,809.16 = 936.23 : x
  2. Step 2: Convert to fraction form
    1,873.43/2,809.16 = 936.23/x
  3. Step 3: Cross multiply
    1,873.43x = 2,809.16 × 936.23
  4. Step 4: Simplify right side
    1,873.43x = 2,630,015.19
  5. Step 5: Solve for x
    x = 2,630,015.19/1,873.43
  6. Step 6: Final answer
    x = 1,403.85

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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.