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Finding the Fourth Proportional to 1,781.26, 2,458.16 and 1,035.25

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Solution

The fourth proportional to 1,781.26, 2,458.16 and 1,035.25 is: 1,428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.26 : 2,458.16 = 1,035.25 : x
  2. Step 2: Convert to fraction form
    1,781.26/2,458.16 = 1,035.25/x
  3. Step 3: Cross multiply
    1,781.26x = 2,458.16 × 1,035.25
  4. Step 4: Simplify right side
    1,781.26x = 2,544,804.96
  5. Step 5: Solve for x
    x = 2,544,804.96/1,781.26
  6. Step 6: Final answer
    x = 1,428.65

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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.