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Finding the Fourth Proportional to 2,392.81, 3,589.31 and 749.32

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Solution

The fourth proportional to 2,392.81, 3,589.31 and 749.32 is: 1,124.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.81 : 3,589.31 = 749.32 : x
  2. Step 2: Convert to fraction form
    2,392.81/3,589.31 = 749.32/x
  3. Step 3: Cross multiply
    2,392.81x = 3,589.31 × 749.32
  4. Step 4: Simplify right side
    2,392.81x = 2,689,534.67
  5. Step 5: Solve for x
    x = 2,689,534.67/2,392.81
  6. Step 6: Final answer
    x = 1,124.01

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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.