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Finding the Fourth Proportional to 1,656, 2,282.94 and 1,183.77

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Solution

The fourth proportional to 1,656, 2,282.94 and 1,183.77 is: 1,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656 : 2,282.94 = 1,183.77 : x
  2. Step 2: Convert to fraction form
    1,656/2,282.94 = 1,183.77/x
  3. Step 3: Cross multiply
    1,656x = 2,282.94 × 1,183.77
  4. Step 4: Simplify right side
    1,656x = 2,702,475.88
  5. Step 5: Solve for x
    x = 2,702,475.88/1,656
  6. Step 6: Final answer
    x = 1,631.93

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Why These Related Problems?

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