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Finding the Fourth Proportional to 1,505.25, 2,259.77 and 889.38

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Solution

The fourth proportional to 1,505.25, 2,259.77 and 889.38 is: 1,335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.25 : 2,259.77 = 889.38 : x
  2. Step 2: Convert to fraction form
    1,505.25/2,259.77 = 889.38/x
  3. Step 3: Cross multiply
    1,505.25x = 2,259.77 × 889.38
  4. Step 4: Simplify right side
    1,505.25x = 2,009,789.80
  5. Step 5: Solve for x
    x = 2,009,789.80/1,505.25
  6. Step 6: Final answer
    x = 1,335.19

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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.