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Finding the Fourth Proportional to 1,930.34, 2,663.89 and 1,173.90

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Solution

The fourth proportional to 1,930.34, 2,663.89 and 1,173.90 is: 1,619.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.34 : 2,663.89 = 1,173.90 : x
  2. Step 2: Convert to fraction form
    1,930.34/2,663.89 = 1,173.90/x
  3. Step 3: Cross multiply
    1,930.34x = 2,663.89 × 1,173.90
  4. Step 4: Simplify right side
    1,930.34x = 3,127,140.47
  5. Step 5: Solve for x
    x = 3,127,140.47/1,930.34
  6. Step 6: Final answer
    x = 1,619.99

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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.