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Finding the Fourth Proportional to 1,661.42, 2,492.09 and 428.82

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Solution

The fourth proportional to 1,661.42, 2,492.09 and 428.82 is: 643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.42 : 2,492.09 = 428.82 : x
  2. Step 2: Convert to fraction form
    1,661.42/2,492.09 = 428.82/x
  3. Step 3: Cross multiply
    1,661.42x = 2,492.09 × 428.82
  4. Step 4: Simplify right side
    1,661.42x = 1,068,658.03
  5. Step 5: Solve for x
    x = 1,068,658.03/1,661.42
  6. Step 6: Final answer
    x = 643.22

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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.