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Finding the Fourth Proportional to 1,975.31, 2,962.77 and 514.46

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Solution

The fourth proportional to 1,975.31, 2,962.77 and 514.46 is: 771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.31 : 2,962.77 = 514.46 : x
  2. Step 2: Convert to fraction form
    1,975.31/2,962.77 = 514.46/x
  3. Step 3: Cross multiply
    1,975.31x = 2,962.77 × 514.46
  4. Step 4: Simplify right side
    1,975.31x = 1,524,224.08
  5. Step 5: Solve for x
    x = 1,524,224.08/1,975.31
  6. Step 6: Final answer
    x = 771.64

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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.