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Finding the Fourth Proportional to 1,492.06, 2,238.90 and 722.56

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Solution

The fourth proportional to 1,492.06, 2,238.90 and 722.56 is: 1,084.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.06 : 2,238.90 = 722.56 : x
  2. Step 2: Convert to fraction form
    1,492.06/2,238.90 = 722.56/x
  3. Step 3: Cross multiply
    1,492.06x = 2,238.90 × 722.56
  4. Step 4: Simplify right side
    1,492.06x = 1,617,739.58
  5. Step 5: Solve for x
    x = 1,617,739.58/1,492.06
  6. Step 6: Final answer
    x = 1,084.23

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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.