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Finding the Fourth Proportional to 1,492.67, 2,238.82 and 397.12

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Solution

The fourth proportional to 1,492.67, 2,238.82 and 397.12 is: 595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.67 : 2,238.82 = 397.12 : x
  2. Step 2: Convert to fraction form
    1,492.67/2,238.82 = 397.12/x
  3. Step 3: Cross multiply
    1,492.67x = 2,238.82 × 397.12
  4. Step 4: Simplify right side
    1,492.67x = 889,080.20
  5. Step 5: Solve for x
    x = 889,080.20/1,492.67
  6. Step 6: Final answer
    x = 595.63

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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.