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Finding the Fourth Proportional to 1,421.82, 2,134.89 and 981.99

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Solution

The fourth proportional to 1,421.82, 2,134.89 and 981.99 is: 1,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.82 : 2,134.89 = 981.99 : x
  2. Step 2: Convert to fraction form
    1,421.82/2,134.89 = 981.99/x
  3. Step 3: Cross multiply
    1,421.82x = 2,134.89 × 981.99
  4. Step 4: Simplify right side
    1,421.82x = 2,096,440.63
  5. Step 5: Solve for x
    x = 2,096,440.63/1,421.82
  6. Step 6: Final answer
    x = 1,474.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.