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Finding the Fourth Proportional to 1,492.85, 2,239.41 and 397.23

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Solution

The fourth proportional to 1,492.85, 2,239.41 and 397.23 is: 595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.85 : 2,239.41 = 397.23 : x
  2. Step 2: Convert to fraction form
    1,492.85/2,239.41 = 397.23/x
  3. Step 3: Cross multiply
    1,492.85x = 2,239.41 × 397.23
  4. Step 4: Simplify right side
    1,492.85x = 889,553.93
  5. Step 5: Solve for x
    x = 889,553.93/1,492.85
  6. Step 6: Final answer
    x = 595.88

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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.