Home / 1,975.20-2,962.77-514.32

Finding the Fourth Proportional to 1,975.20, 2,962.77 and 514.32

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Solution

The fourth proportional to 1,975.20, 2,962.77 and 514.32 is: 771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.20 : 2,962.77 = 514.32 : x
  2. Step 2: Convert to fraction form
    1,975.20/2,962.77 = 514.32/x
  3. Step 3: Cross multiply
    1,975.20x = 2,962.77 × 514.32
  4. Step 4: Simplify right side
    1,975.20x = 1,523,811.87
  5. Step 5: Solve for x
    x = 1,523,811.87/1,975.20
  6. Step 6: Final answer
    x = 771.47

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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.