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Finding the Fourth Proportional to 2,780.65, 4,170.06 and 931.30

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Solution

The fourth proportional to 2,780.65, 4,170.06 and 931.30 is: 1,396.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.65 : 4,170.06 = 931.30 : x
  2. Step 2: Convert to fraction form
    2,780.65/4,170.06 = 931.30/x
  3. Step 3: Cross multiply
    2,780.65x = 4,170.06 × 931.30
  4. Step 4: Simplify right side
    2,780.65x = 3,883,576.88
  5. Step 5: Solve for x
    x = 3,883,576.88/2,780.65
  6. Step 6: Final answer
    x = 1,396.64

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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.