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Finding the Fourth Proportional to 2,980.01, 4,469.04 and 2,785.88

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Solution

The fourth proportional to 2,980.01, 4,469.04 and 2,785.88 is: 4,177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.01 : 4,469.04 = 2,785.88 : x
  2. Step 2: Convert to fraction form
    2,980.01/4,469.04 = 2,785.88/x
  3. Step 3: Cross multiply
    2,980.01x = 4,469.04 × 2,785.88
  4. Step 4: Simplify right side
    2,980.01x = 12,450,186.81
  5. Step 5: Solve for x
    x = 12,450,186.81/2,980.01
  6. Step 6: Final answer
    x = 4,177.91

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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.