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Finding the Fourth Proportional to 2,950.68, 4,072.05 and 1,691.76

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Solution

The fourth proportional to 2,950.68, 4,072.05 and 1,691.76 is: 2,334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.68 : 4,072.05 = 1,691.76 : x
  2. Step 2: Convert to fraction form
    2,950.68/4,072.05 = 1,691.76/x
  3. Step 3: Cross multiply
    2,950.68x = 4,072.05 × 1,691.76
  4. Step 4: Simplify right side
    2,950.68x = 6,888,931.31
  5. Step 5: Solve for x
    x = 6,888,931.31/2,950.68
  6. Step 6: Final answer
    x = 2,334.69

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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.