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Finding the Fourth Proportional to 2,957.85, 4,082.99 and 1,778.69

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Solution

The fourth proportional to 2,957.85, 4,082.99 and 1,778.69 is: 2,455.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.85 : 4,082.99 = 1,778.69 : x
  2. Step 2: Convert to fraction form
    2,957.85/4,082.99 = 1,778.69/x
  3. Step 3: Cross multiply
    2,957.85x = 4,082.99 × 1,778.69
  4. Step 4: Simplify right side
    2,957.85x = 7,262,373.48
  5. Step 5: Solve for x
    x = 7,262,373.48/2,957.85
  6. Step 6: Final answer
    x = 2,455.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.