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Finding the Fourth Proportional to 3,244.80, 4,867.32 and 1,164.24

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Solution

The fourth proportional to 3,244.80, 4,867.32 and 1,164.24 is: 1,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.80 : 4,867.32 = 1,164.24 : x
  2. Step 2: Convert to fraction form
    3,244.80/4,867.32 = 1,164.24/x
  3. Step 3: Cross multiply
    3,244.80x = 4,867.32 × 1,164.24
  4. Step 4: Simplify right side
    3,244.80x = 5,666,728.64
  5. Step 5: Solve for x
    x = 5,666,728.64/3,244.80
  6. Step 6: Final answer
    x = 1,746.40

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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.