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Finding the Fourth Proportional to 1,744.79, 2,618.33 and 1,604.01

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Solution

The fourth proportional to 1,744.79, 2,618.33 and 1,604.01 is: 2,407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.79 : 2,618.33 = 1,604.01 : x
  2. Step 2: Convert to fraction form
    1,744.79/2,618.33 = 1,604.01/x
  3. Step 3: Cross multiply
    1,744.79x = 2,618.33 × 1,604.01
  4. Step 4: Simplify right side
    1,744.79x = 4,199,814.41
  5. Step 5: Solve for x
    x = 4,199,814.41/1,744.79
  6. Step 6: Final answer
    x = 2,407.06

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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.