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Finding the Fourth Proportional to 1,294.24, 1,938.28 and 1,018.12

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Solution

The fourth proportional to 1,294.24, 1,938.28 and 1,018.12 is: 1,524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.24 : 1,938.28 = 1,018.12 : x
  2. Step 2: Convert to fraction form
    1,294.24/1,938.28 = 1,018.12/x
  3. Step 3: Cross multiply
    1,294.24x = 1,938.28 × 1,018.12
  4. Step 4: Simplify right side
    1,294.24x = 1,973,401.63
  5. Step 5: Solve for x
    x = 1,973,401.63/1,294.24
  6. Step 6: Final answer
    x = 1,524.76

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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.