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Finding the Fourth Proportional to 2,102.14, 3,152.88 and 803.32

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Solution

The fourth proportional to 2,102.14, 3,152.88 and 803.32 is: 1,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.14 : 3,152.88 = 803.32 : x
  2. Step 2: Convert to fraction form
    2,102.14/3,152.88 = 803.32/x
  3. Step 3: Cross multiply
    2,102.14x = 3,152.88 × 803.32
  4. Step 4: Simplify right side
    2,102.14x = 2,532,771.56
  5. Step 5: Solve for x
    x = 2,532,771.56/2,102.14
  6. Step 6: Final answer
    x = 1,204.85

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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.