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Finding the Fourth Proportional to 1,950.34, 2,689.04 and 1,575.94

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Solution

The fourth proportional to 1,950.34, 2,689.04 and 1,575.94 is: 2,172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.34 : 2,689.04 = 1,575.94 : x
  2. Step 2: Convert to fraction form
    1,950.34/2,689.04 = 1,575.94/x
  3. Step 3: Cross multiply
    1,950.34x = 2,689.04 × 1,575.94
  4. Step 4: Simplify right side
    1,950.34x = 4,237,765.70
  5. Step 5: Solve for x
    x = 4,237,765.70/1,950.34
  6. Step 6: Final answer
    x = 2,172.83

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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.