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Finding the Fourth Proportional to 1,762.09, 2,644.41 and 1,419.56

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Solution

The fourth proportional to 1,762.09, 2,644.41 and 1,419.56 is: 2,130.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.09 : 2,644.41 = 1,419.56 : x
  2. Step 2: Convert to fraction form
    1,762.09/2,644.41 = 1,419.56/x
  3. Step 3: Cross multiply
    1,762.09x = 2,644.41 × 1,419.56
  4. Step 4: Simplify right side
    1,762.09x = 3,753,904.40
  5. Step 5: Solve for x
    x = 3,753,904.40/1,762.09
  6. Step 6: Final answer
    x = 2,130.37

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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.