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Finding the Fourth Proportional to 1,492.96, 2,239.44 and 397.41

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Solution

The fourth proportional to 1,492.96, 2,239.44 and 397.41 is: 596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.96 : 2,239.44 = 397.41 : x
  2. Step 2: Convert to fraction form
    1,492.96/2,239.44 = 397.41/x
  3. Step 3: Cross multiply
    1,492.96x = 2,239.44 × 397.41
  4. Step 4: Simplify right side
    1,492.96x = 889,975.85
  5. Step 5: Solve for x
    x = 889,975.85/1,492.96
  6. Step 6: Final answer
    x = 596.12

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Why These Related Problems?

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