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Finding the Fourth Proportional to 1,755.10, 2,632.96 and 522.38

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Solution

The fourth proportional to 1,755.10, 2,632.96 and 522.38 is: 783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.10 : 2,632.96 = 522.38 : x
  2. Step 2: Convert to fraction form
    1,755.10/2,632.96 = 522.38/x
  3. Step 3: Cross multiply
    1,755.10x = 2,632.96 × 522.38
  4. Step 4: Simplify right side
    1,755.10x = 1,375,409.94
  5. Step 5: Solve for x
    x = 1,375,409.94/1,755.10
  6. Step 6: Final answer
    x = 783.66

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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.