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Finding the Fourth Proportional to 1,492.52, 2,238.89 and 396.88

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Solution

The fourth proportional to 1,492.52, 2,238.89 and 396.88 is: 595.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.52 : 2,238.89 = 396.88 : x
  2. Step 2: Convert to fraction form
    1,492.52/2,238.89 = 396.88/x
  3. Step 3: Cross multiply
    1,492.52x = 2,238.89 × 396.88
  4. Step 4: Simplify right side
    1,492.52x = 888,570.66
  5. Step 5: Solve for x
    x = 888,570.66/1,492.52
  6. Step 6: Final answer
    x = 595.35

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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.