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Finding the Fourth Proportional to 2,767.42, 3,819 and 1,588.42

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Solution

The fourth proportional to 2,767.42, 3,819 and 1,588.42 is: 2,192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.42 : 3,819 = 1,588.42 : x
  2. Step 2: Convert to fraction form
    2,767.42/3,819 = 1,588.42/x
  3. Step 3: Cross multiply
    2,767.42x = 3,819 × 1,588.42
  4. Step 4: Simplify right side
    2,767.42x = 6,066,175.98
  5. Step 5: Solve for x
    x = 6,066,175.98/2,767.42
  6. Step 6: Final answer
    x = 2,192.00

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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.