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Finding the Fourth Proportional to 1,760.69, 2,429.61 and 1,573.58

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Solution

The fourth proportional to 1,760.69, 2,429.61 and 1,573.58 is: 2,171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.69 : 2,429.61 = 1,573.58 : x
  2. Step 2: Convert to fraction form
    1,760.69/2,429.61 = 1,573.58/x
  3. Step 3: Cross multiply
    1,760.69x = 2,429.61 × 1,573.58
  4. Step 4: Simplify right side
    1,760.69x = 3,823,185.70
  5. Step 5: Solve for x
    x = 3,823,185.70/1,760.69
  6. Step 6: Final answer
    x = 2,171.41

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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.