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Finding the Fourth Proportional to 1,931.82, 2,898.33 and 633.66

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Solution

The fourth proportional to 1,931.82, 2,898.33 and 633.66 is: 950.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.82 : 2,898.33 = 633.66 : x
  2. Step 2: Convert to fraction form
    1,931.82/2,898.33 = 633.66/x
  3. Step 3: Cross multiply
    1,931.82x = 2,898.33 × 633.66
  4. Step 4: Simplify right side
    1,931.82x = 1,836,555.79
  5. Step 5: Solve for x
    x = 1,836,555.79/1,931.82
  6. Step 6: Final answer
    x = 950.69

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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.