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Finding the Fourth Proportional to 1,908.36, 2,862.54 and 1,043.28

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Solution

The fourth proportional to 1,908.36, 2,862.54 and 1,043.28 is: 1,564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.36 : 2,862.54 = 1,043.28 : x
  2. Step 2: Convert to fraction form
    1,908.36/2,862.54 = 1,043.28/x
  3. Step 3: Cross multiply
    1,908.36x = 2,862.54 × 1,043.28
  4. Step 4: Simplify right side
    1,908.36x = 2,986,430.73
  5. Step 5: Solve for x
    x = 2,986,430.73/1,908.36
  6. Step 6: Final answer
    x = 1,564.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.