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Finding the Fourth Proportional to 1,894.70, 2,842.46 and 596.07

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Solution

The fourth proportional to 1,894.70, 2,842.46 and 596.07 is: 894.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.70 : 2,842.46 = 596.07 : x
  2. Step 2: Convert to fraction form
    1,894.70/2,842.46 = 596.07/x
  3. Step 3: Cross multiply
    1,894.70x = 2,842.46 × 596.07
  4. Step 4: Simplify right side
    1,894.70x = 1,694,302.15
  5. Step 5: Solve for x
    x = 1,694,302.15/1,894.70
  6. Step 6: Final answer
    x = 894.23

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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.