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Finding the Fourth Proportional to 3,302.56, 4,953.80 and 803.76

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Solution

The fourth proportional to 3,302.56, 4,953.80 and 803.76 is: 1,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.56 : 4,953.80 = 803.76 : x
  2. Step 2: Convert to fraction form
    3,302.56/4,953.80 = 803.76/x
  3. Step 3: Cross multiply
    3,302.56x = 4,953.80 × 803.76
  4. Step 4: Simplify right side
    3,302.56x = 3,981,666.29
  5. Step 5: Solve for x
    x = 3,981,666.29/3,302.56
  6. Step 6: Final answer
    x = 1,205.63

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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.