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Finding the Fourth Proportional to 1,661.62, 2,492.42 and 428.93

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Solution

The fourth proportional to 1,661.62, 2,492.42 and 428.93 is: 643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.62 : 2,492.42 = 428.93 : x
  2. Step 2: Convert to fraction form
    1,661.62/2,492.42 = 428.93/x
  3. Step 3: Cross multiply
    1,661.62x = 2,492.42 × 428.93
  4. Step 4: Simplify right side
    1,661.62x = 1,069,059.10
  5. Step 5: Solve for x
    x = 1,069,059.10/1,661.62
  6. Step 6: Final answer
    x = 643.38

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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.