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Finding the Fourth Proportional to 1,744.34, 2,616.20 and 704.07

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Solution

The fourth proportional to 1,744.34, 2,616.20 and 704.07 is: 1,055.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.34 : 2,616.20 = 704.07 : x
  2. Step 2: Convert to fraction form
    1,744.34/2,616.20 = 704.07/x
  3. Step 3: Cross multiply
    1,744.34x = 2,616.20 × 704.07
  4. Step 4: Simplify right side
    1,744.34x = 1,841,984.41
  5. Step 5: Solve for x
    x = 1,841,984.41/1,744.34
  6. Step 6: Final answer
    x = 1,055.98

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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.