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Finding the Fourth Proportional to 1,492.09, 2,234.31 and 1,448.31

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Solution

The fourth proportional to 1,492.09, 2,234.31 and 1,448.31 is: 2,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.09 : 2,234.31 = 1,448.31 : x
  2. Step 2: Convert to fraction form
    1,492.09/2,234.31 = 1,448.31/x
  3. Step 3: Cross multiply
    1,492.09x = 2,234.31 × 1,448.31
  4. Step 4: Simplify right side
    1,492.09x = 3,235,973.52
  5. Step 5: Solve for x
    x = 3,235,973.52/1,492.09
  6. Step 6: Final answer
    x = 2,168.75

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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.