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Finding the Fourth Proportional to 2,980.71, 4,469.61 and 900.32

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Solution

The fourth proportional to 2,980.71, 4,469.61 and 900.32 is: 1,350.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.71 : 4,469.61 = 900.32 : x
  2. Step 2: Convert to fraction form
    2,980.71/4,469.61 = 900.32/x
  3. Step 3: Cross multiply
    2,980.71x = 4,469.61 × 900.32
  4. Step 4: Simplify right side
    2,980.71x = 4,024,079.28
  5. Step 5: Solve for x
    x = 4,024,079.28/2,980.71
  6. Step 6: Final answer
    x = 1,350.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.