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Finding the Fourth Proportional to 2,054.67, 3,082.05 and 593.93

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Solution

The fourth proportional to 2,054.67, 3,082.05 and 593.93 is: 890.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.67 : 3,082.05 = 593.93 : x
  2. Step 2: Convert to fraction form
    2,054.67/3,082.05 = 593.93/x
  3. Step 3: Cross multiply
    2,054.67x = 3,082.05 × 593.93
  4. Step 4: Simplify right side
    2,054.67x = 1,830,521.96
  5. Step 5: Solve for x
    x = 1,830,521.96/2,054.67
  6. Step 6: Final answer
    x = 890.91

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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.