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Finding the Fourth Proportional to 4,803.96, 7,204.50 and 1,340.76

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Solution

The fourth proportional to 4,803.96, 7,204.50 and 1,340.76 is: 2,010.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.96 : 7,204.50 = 1,340.76 : x
  2. Step 2: Convert to fraction form
    4,803.96/7,204.50 = 1,340.76/x
  3. Step 3: Cross multiply
    4,803.96x = 7,204.50 × 1,340.76
  4. Step 4: Simplify right side
    4,803.96x = 9,659,505.42
  5. Step 5: Solve for x
    x = 9,659,505.42/4,803.96
  6. Step 6: Final answer
    x = 2,010.74

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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.