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Finding the Fourth Proportional to 2,505.95, 3,759.53 and 751.10

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Solution

The fourth proportional to 2,505.95, 3,759.53 and 751.10 is: 1,126.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.95 : 3,759.53 = 751.10 : x
  2. Step 2: Convert to fraction form
    2,505.95/3,759.53 = 751.10/x
  3. Step 3: Cross multiply
    2,505.95x = 3,759.53 × 751.10
  4. Step 4: Simplify right side
    2,505.95x = 2,823,788.63
  5. Step 5: Solve for x
    x = 2,823,788.63/2,505.95
  6. Step 6: Final answer
    x = 1,126.83

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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.