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Finding the Fourth Proportional to 1,763.28, 2,642.04 and 1,033.44

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Solution

The fourth proportional to 1,763.28, 2,642.04 and 1,033.44 is: 1,548.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.28 : 2,642.04 = 1,033.44 : x
  2. Step 2: Convert to fraction form
    1,763.28/2,642.04 = 1,033.44/x
  3. Step 3: Cross multiply
    1,763.28x = 2,642.04 × 1,033.44
  4. Step 4: Simplify right side
    1,763.28x = 2,730,389.82
  5. Step 5: Solve for x
    x = 2,730,389.82/1,763.28
  6. Step 6: Final answer
    x = 1,548.47

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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.