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Finding the Fourth Proportional to 1,763.51, 2,642.42 and 1,033.70

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Solution

The fourth proportional to 1,763.51, 2,642.42 and 1,033.70 is: 1,548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.51 : 2,642.42 = 1,033.70 : x
  2. Step 2: Convert to fraction form
    1,763.51/2,642.42 = 1,033.70/x
  3. Step 3: Cross multiply
    1,763.51x = 2,642.42 × 1,033.70
  4. Step 4: Simplify right side
    1,763.51x = 2,731,458.93
  5. Step 5: Solve for x
    x = 2,731,458.93/1,763.51
  6. Step 6: Final answer
    x = 1,548.88

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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.