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Finding the Fourth Proportional to 1,359.81, 1,877.10 and 1,028.34

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Solution

The fourth proportional to 1,359.81, 1,877.10 and 1,028.34 is: 1,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.81 : 1,877.10 = 1,028.34 : x
  2. Step 2: Convert to fraction form
    1,359.81/1,877.10 = 1,028.34/x
  3. Step 3: Cross multiply
    1,359.81x = 1,877.10 × 1,028.34
  4. Step 4: Simplify right side
    1,359.81x = 1,930,297.01
  5. Step 5: Solve for x
    x = 1,930,297.01/1,359.81
  6. Step 6: Final answer
    x = 1,419.53

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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.