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Finding the Fourth Proportional to 1,673.75, 2,507.37 and 1,288.19

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Solution

The fourth proportional to 1,673.75, 2,507.37 and 1,288.19 is: 1,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.75 : 2,507.37 = 1,288.19 : x
  2. Step 2: Convert to fraction form
    1,673.75/2,507.37 = 1,288.19/x
  3. Step 3: Cross multiply
    1,673.75x = 2,507.37 × 1,288.19
  4. Step 4: Simplify right side
    1,673.75x = 3,229,956.42
  5. Step 5: Solve for x
    x = 3,229,956.42/1,673.75
  6. Step 6: Final answer
    x = 1,929.78

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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.