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Finding the Fourth Proportional to 2,505.89, 3,458.15 and 1,371.59

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Solution

The fourth proportional to 2,505.89, 3,458.15 and 1,371.59 is: 1,892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.89 : 3,458.15 = 1,371.59 : x
  2. Step 2: Convert to fraction form
    2,505.89/3,458.15 = 1,371.59/x
  3. Step 3: Cross multiply
    2,505.89x = 3,458.15 × 1,371.59
  4. Step 4: Simplify right side
    2,505.89x = 4,743,139.81
  5. Step 5: Solve for x
    x = 4,743,139.81/2,505.89
  6. Step 6: Final answer
    x = 1,892.80

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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.