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Finding the Fourth Proportional to 1,755.83, 2,635.34 and 934.80

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Solution

The fourth proportional to 1,755.83, 2,635.34 and 934.80 is: 1,403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.83 : 2,635.34 = 934.80 : x
  2. Step 2: Convert to fraction form
    1,755.83/2,635.34 = 934.80/x
  3. Step 3: Cross multiply
    1,755.83x = 2,635.34 × 934.80
  4. Step 4: Simplify right side
    1,755.83x = 2,463,515.83
  5. Step 5: Solve for x
    x = 2,463,515.83/1,755.83
  6. Step 6: Final answer
    x = 1,403.05

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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.