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Finding the Fourth Proportional to 1,812.03, 2,499.71 and 1,412.97

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Solution

The fourth proportional to 1,812.03, 2,499.71 and 1,412.97 is: 1,949.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.03 : 2,499.71 = 1,412.97 : x
  2. Step 2: Convert to fraction form
    1,812.03/2,499.71 = 1,412.97/x
  3. Step 3: Cross multiply
    1,812.03x = 2,499.71 × 1,412.97
  4. Step 4: Simplify right side
    1,812.03x = 3,532,015.24
  5. Step 5: Solve for x
    x = 3,532,015.24/1,812.03
  6. Step 6: Final answer
    x = 1,949.20

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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.