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Finding the Fourth Proportional to 1,755.26, 2,419.86 and 1,505.48

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Solution

The fourth proportional to 1,755.26, 2,419.86 and 1,505.48 is: 2,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.26 : 2,419.86 = 1,505.48 : x
  2. Step 2: Convert to fraction form
    1,755.26/2,419.86 = 1,505.48/x
  3. Step 3: Cross multiply
    1,755.26x = 2,419.86 × 1,505.48
  4. Step 4: Simplify right side
    1,755.26x = 3,643,050.83
  5. Step 5: Solve for x
    x = 3,643,050.83/1,755.26
  6. Step 6: Final answer
    x = 2,075.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.