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Finding the Fourth Proportional to 1,930.81, 2,663.90 and 1,184.40

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Solution

The fourth proportional to 1,930.81, 2,663.90 and 1,184.40 is: 1,634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.81 : 2,663.90 = 1,184.40 : x
  2. Step 2: Convert to fraction form
    1,930.81/2,663.90 = 1,184.40/x
  3. Step 3: Cross multiply
    1,930.81x = 2,663.90 × 1,184.40
  4. Step 4: Simplify right side
    1,930.81x = 3,155,123.16
  5. Step 5: Solve for x
    x = 3,155,123.16/1,930.81
  6. Step 6: Final answer
    x = 1,634.09

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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.