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Finding the Fourth Proportional to 3,232.96, 4,849.68 and 924.64

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Solution

The fourth proportional to 3,232.96, 4,849.68 and 924.64 is: 1,387.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.96 : 4,849.68 = 924.64 : x
  2. Step 2: Convert to fraction form
    3,232.96/4,849.68 = 924.64/x
  3. Step 3: Cross multiply
    3,232.96x = 4,849.68 × 924.64
  4. Step 4: Simplify right side
    3,232.96x = 4,484,208.12
  5. Step 5: Solve for x
    x = 4,484,208.12/3,232.96
  6. Step 6: Final answer
    x = 1,387.03

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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.