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Finding the Fourth Proportional to 2,624.60, 3,937.80 and 1,164.80

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Solution

The fourth proportional to 2,624.60, 3,937.80 and 1,164.80 is: 1,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.60 : 3,937.80 = 1,164.80 : x
  2. Step 2: Convert to fraction form
    2,624.60/3,937.80 = 1,164.80/x
  3. Step 3: Cross multiply
    2,624.60x = 3,937.80 × 1,164.80
  4. Step 4: Simplify right side
    2,624.60x = 4,586,749.44
  5. Step 5: Solve for x
    x = 4,586,749.44/2,624.60
  6. Step 6: Final answer
    x = 1,747.60

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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.