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Finding the Fourth Proportional to 1,841.56, 2,542.62 and 1,320.28

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Solution

The fourth proportional to 1,841.56, 2,542.62 and 1,320.28 is: 1,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.56 : 2,542.62 = 1,320.28 : x
  2. Step 2: Convert to fraction form
    1,841.56/2,542.62 = 1,320.28/x
  3. Step 3: Cross multiply
    1,841.56x = 2,542.62 × 1,320.28
  4. Step 4: Simplify right side
    1,841.56x = 3,356,970.33
  5. Step 5: Solve for x
    x = 3,356,970.33/1,841.56
  6. Step 6: Final answer
    x = 1,822.89

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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.