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Finding the Fourth Proportional to 2,054.93, 3,082.06 and 593.75

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Solution

The fourth proportional to 2,054.93, 3,082.06 and 593.75 is: 890.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.93 : 3,082.06 = 593.75 : x
  2. Step 2: Convert to fraction form
    2,054.93/3,082.06 = 593.75/x
  3. Step 3: Cross multiply
    2,054.93x = 3,082.06 × 593.75
  4. Step 4: Simplify right side
    2,054.93x = 1,829,973.13
  5. Step 5: Solve for x
    x = 1,829,973.13/2,054.93
  6. Step 6: Final answer
    x = 890.53

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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.