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Finding the Fourth Proportional to 1,431.06, 2,144.53 and 813.45

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Solution

The fourth proportional to 1,431.06, 2,144.53 and 813.45 is: 1,219.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.06 : 2,144.53 = 813.45 : x
  2. Step 2: Convert to fraction form
    1,431.06/2,144.53 = 813.45/x
  3. Step 3: Cross multiply
    1,431.06x = 2,144.53 × 813.45
  4. Step 4: Simplify right side
    1,431.06x = 1,744,476.99
  5. Step 5: Solve for x
    x = 1,744,476.99/1,431.06
  6. Step 6: Final answer
    x = 1,219.01

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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.