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Finding the Fourth Proportional to 1,492.12, 2,237.24 and 518.30

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Solution

The fourth proportional to 1,492.12, 2,237.24 and 518.30 is: 777.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.12 : 2,237.24 = 518.30 : x
  2. Step 2: Convert to fraction form
    1,492.12/2,237.24 = 518.30/x
  3. Step 3: Cross multiply
    1,492.12x = 2,237.24 × 518.30
  4. Step 4: Simplify right side
    1,492.12x = 1,159,561.49
  5. Step 5: Solve for x
    x = 1,159,561.49/1,492.12
  6. Step 6: Final answer
    x = 777.12

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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.