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Finding the Fourth Proportional to 1,505.39, 2,066.36 and 1,335.89

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Solution

The fourth proportional to 1,505.39, 2,066.36 and 1,335.89 is: 1,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.39 : 2,066.36 = 1,335.89 : x
  2. Step 2: Convert to fraction form
    1,505.39/2,066.36 = 1,335.89/x
  3. Step 3: Cross multiply
    1,505.39x = 2,066.36 × 1,335.89
  4. Step 4: Simplify right side
    1,505.39x = 2,760,435.66
  5. Step 5: Solve for x
    x = 2,760,435.66/1,505.39
  6. Step 6: Final answer
    x = 1,833.71

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.