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Finding the Fourth Proportional to 1,492.12, 2,238.30 and 396.46

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Solution

The fourth proportional to 1,492.12, 2,238.30 and 396.46 is: 594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.12 : 2,238.30 = 396.46 : x
  2. Step 2: Convert to fraction form
    1,492.12/2,238.30 = 396.46/x
  3. Step 3: Cross multiply
    1,492.12x = 2,238.30 × 396.46
  4. Step 4: Simplify right side
    1,492.12x = 887,399.22
  5. Step 5: Solve for x
    x = 887,399.22/1,492.12
  6. Step 6: Final answer
    x = 594.72

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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.