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Finding the Fourth Proportional to 1,738.98, 2,607.98 and 628.23

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Solution

The fourth proportional to 1,738.98, 2,607.98 and 628.23 is: 942.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.98 : 2,607.98 = 628.23 : x
  2. Step 2: Convert to fraction form
    1,738.98/2,607.98 = 628.23/x
  3. Step 3: Cross multiply
    1,738.98x = 2,607.98 × 628.23
  4. Step 4: Simplify right side
    1,738.98x = 1,638,408.13
  5. Step 5: Solve for x
    x = 1,638,408.13/1,738.98
  6. Step 6: Final answer
    x = 942.17

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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.