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Finding the Fourth Proportional to 2,776.12, 3,830.42 and 1,656.84

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Solution

The fourth proportional to 2,776.12, 3,830.42 and 1,656.84 is: 2,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.12 : 3,830.42 = 1,656.84 : x
  2. Step 2: Convert to fraction form
    2,776.12/3,830.42 = 1,656.84/x
  3. Step 3: Cross multiply
    2,776.12x = 3,830.42 × 1,656.84
  4. Step 4: Simplify right side
    2,776.12x = 6,346,393.07
  5. Step 5: Solve for x
    x = 6,346,393.07/2,776.12
  6. Step 6: Final answer
    x = 2,286.07

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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.