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Finding the Fourth Proportional to 2,053.52, 3,080.32 and 514.56

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Solution

The fourth proportional to 2,053.52, 3,080.32 and 514.56 is: 771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.52 : 3,080.32 = 514.56 : x
  2. Step 2: Convert to fraction form
    2,053.52/3,080.32 = 514.56/x
  3. Step 3: Cross multiply
    2,053.52x = 3,080.32 × 514.56
  4. Step 4: Simplify right side
    2,053.52x = 1,585,009.46
  5. Step 5: Solve for x
    x = 1,585,009.46/2,053.52
  6. Step 6: Final answer
    x = 771.85

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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.