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Finding the Fourth Proportional to 2,053.50, 3,080.25 and 514.50

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Solution

The fourth proportional to 2,053.50, 3,080.25 and 514.50 is: 771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.50 : 3,080.25 = 514.50 : x
  2. Step 2: Convert to fraction form
    2,053.50/3,080.25 = 514.50/x
  3. Step 3: Cross multiply
    2,053.50x = 3,080.25 × 514.50
  4. Step 4: Simplify right side
    2,053.50x = 1,584,788.63
  5. Step 5: Solve for x
    x = 1,584,788.63/2,053.50
  6. Step 6: Final answer
    x = 771.75

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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.