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Finding the Fourth Proportional to 1,492.04, 2,238.41 and 518.15

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Solution

The fourth proportional to 1,492.04, 2,238.41 and 518.15 is: 777.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.04 : 2,238.41 = 518.15 : x
  2. Step 2: Convert to fraction form
    1,492.04/2,238.41 = 518.15/x
  3. Step 3: Cross multiply
    1,492.04x = 2,238.41 × 518.15
  4. Step 4: Simplify right side
    1,492.04x = 1,159,839.03
  5. Step 5: Solve for x
    x = 1,159,839.03/1,492.04
  6. Step 6: Final answer
    x = 777.35

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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.