Home / 1,968.12-2,952.24-507.27

Finding the Fourth Proportional to 1,968.12, 2,952.24 and 507.27

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Solution

The fourth proportional to 1,968.12, 2,952.24 and 507.27 is: 760.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.12 : 2,952.24 = 507.27 : x
  2. Step 2: Convert to fraction form
    1,968.12/2,952.24 = 507.27/x
  3. Step 3: Cross multiply
    1,968.12x = 2,952.24 × 507.27
  4. Step 4: Simplify right side
    1,968.12x = 1,497,582.78
  5. Step 5: Solve for x
    x = 1,497,582.78/1,968.12
  6. Step 6: Final answer
    x = 760.92

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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.