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Finding the Fourth Proportional to 1,450.42, 1,998.82 and 1,423.76

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Solution

The fourth proportional to 1,450.42, 1,998.82 and 1,423.76 is: 1,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.42 : 1,998.82 = 1,423.76 : x
  2. Step 2: Convert to fraction form
    1,450.42/1,998.82 = 1,423.76/x
  3. Step 3: Cross multiply
    1,450.42x = 1,998.82 × 1,423.76
  4. Step 4: Simplify right side
    1,450.42x = 2,845,832.84
  5. Step 5: Solve for x
    x = 2,845,832.84/1,450.42
  6. Step 6: Final answer
    x = 1,962.08

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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.