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Finding the Fourth Proportional to 3,232.76, 4,849.12 and 924.26

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Solution

The fourth proportional to 3,232.76, 4,849.12 and 924.26 is: 1,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.76 : 4,849.12 = 924.26 : x
  2. Step 2: Convert to fraction form
    3,232.76/4,849.12 = 924.26/x
  3. Step 3: Cross multiply
    3,232.76x = 4,849.12 × 924.26
  4. Step 4: Simplify right side
    3,232.76x = 4,481,847.65
  5. Step 5: Solve for x
    x = 4,481,847.65/3,232.76
  6. Step 6: Final answer
    x = 1,386.38

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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.