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Finding the Fourth Proportional to 4,780.96, 7,170.16 and 1,318.40

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Solution

The fourth proportional to 4,780.96, 7,170.16 and 1,318.40 is: 1,977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.96 : 7,170.16 = 1,318.40 : x
  2. Step 2: Convert to fraction form
    4,780.96/7,170.16 = 1,318.40/x
  3. Step 3: Cross multiply
    4,780.96x = 7,170.16 × 1,318.40
  4. Step 4: Simplify right side
    4,780.96x = 9,453,138.94
  5. Step 5: Solve for x
    x = 9,453,138.94/4,780.96
  6. Step 6: Final answer
    x = 1,977.25

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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.