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Finding the Fourth Proportional to 2,054.77, 3,081.85 and 593.75

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Solution

The fourth proportional to 2,054.77, 3,081.85 and 593.75 is: 890.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.77 : 3,081.85 = 593.75 : x
  2. Step 2: Convert to fraction form
    2,054.77/3,081.85 = 593.75/x
  3. Step 3: Cross multiply
    2,054.77x = 3,081.85 × 593.75
  4. Step 4: Simplify right side
    2,054.77x = 1,829,848.44
  5. Step 5: Solve for x
    x = 1,829,848.44/2,054.77
  6. Step 6: Final answer
    x = 890.54

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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.