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Finding the Fourth Proportional to 2,984.56, 4,470.44 and 2,902.64

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Solution

The fourth proportional to 2,984.56, 4,470.44 and 2,902.64 is: 4,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.56 : 4,470.44 = 2,902.64 : x
  2. Step 2: Convert to fraction form
    2,984.56/4,470.44 = 2,902.64/x
  3. Step 3: Cross multiply
    2,984.56x = 4,470.44 × 2,902.64
  4. Step 4: Simplify right side
    2,984.56x = 12,976,077.96
  5. Step 5: Solve for x
    x = 12,976,077.96/2,984.56
  6. Step 6: Final answer
    x = 4,347.74

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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.