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Finding the Fourth Proportional to 1,812.44, 2,496.50 and 1,418.76

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Solution

The fourth proportional to 1,812.44, 2,496.50 and 1,418.76 is: 1,954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.44 : 2,496.50 = 1,418.76 : x
  2. Step 2: Convert to fraction form
    1,812.44/2,496.50 = 1,418.76/x
  3. Step 3: Cross multiply
    1,812.44x = 2,496.50 × 1,418.76
  4. Step 4: Simplify right side
    1,812.44x = 3,541,934.34
  5. Step 5: Solve for x
    x = 3,541,934.34/1,812.44
  6. Step 6: Final answer
    x = 1,954.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.