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Finding the Fourth Proportional to 1,958.47, 2,938.32 and 726.05

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Solution

The fourth proportional to 1,958.47, 2,938.32 and 726.05 is: 1,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.47 : 2,938.32 = 726.05 : x
  2. Step 2: Convert to fraction form
    1,958.47/2,938.32 = 726.05/x
  3. Step 3: Cross multiply
    1,958.47x = 2,938.32 × 726.05
  4. Step 4: Simplify right side
    1,958.47x = 2,133,367.24
  5. Step 5: Solve for x
    x = 2,133,367.24/1,958.47
  6. Step 6: Final answer
    x = 1,089.30

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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.