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Finding the Fourth Proportional to 1,894.57, 2,841.95 and 596.14

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Solution

The fourth proportional to 1,894.57, 2,841.95 and 596.14 is: 894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.57 : 2,841.95 = 596.14 : x
  2. Step 2: Convert to fraction form
    1,894.57/2,841.95 = 596.14/x
  3. Step 3: Cross multiply
    1,894.57x = 2,841.95 × 596.14
  4. Step 4: Simplify right side
    1,894.57x = 1,694,197.09
  5. Step 5: Solve for x
    x = 1,694,197.09/1,894.57
  6. Step 6: Final answer
    x = 894.24

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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.