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Finding the Fourth Proportional to 2,119.64, 2,926.04 and 1,412.73

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Solution

The fourth proportional to 2,119.64, 2,926.04 and 1,412.73 is: 1,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.64 : 2,926.04 = 1,412.73 : x
  2. Step 2: Convert to fraction form
    2,119.64/2,926.04 = 1,412.73/x
  3. Step 3: Cross multiply
    2,119.64x = 2,926.04 × 1,412.73
  4. Step 4: Simplify right side
    2,119.64x = 4,133,697.43
  5. Step 5: Solve for x
    x = 4,133,697.43/2,119.64
  6. Step 6: Final answer
    x = 1,950.19

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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.