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Finding the Fourth Proportional to 2,936.64, 4,403.68 and 988.32

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Solution

The fourth proportional to 2,936.64, 4,403.68 and 988.32 is: 1,482.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.64 : 4,403.68 = 988.32 : x
  2. Step 2: Convert to fraction form
    2,936.64/4,403.68 = 988.32/x
  3. Step 3: Cross multiply
    2,936.64x = 4,403.68 × 988.32
  4. Step 4: Simplify right side
    2,936.64x = 4,352,245.02
  5. Step 5: Solve for x
    x = 4,352,245.02/2,936.64
  6. Step 6: Final answer
    x = 1,482.05

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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.