Home / 1,743.06-2,614.99-510.48

Finding the Fourth Proportional to 1,743.06, 2,614.99 and 510.48

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Solution

The fourth proportional to 1,743.06, 2,614.99 and 510.48 is: 765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.06 : 2,614.99 = 510.48 : x
  2. Step 2: Convert to fraction form
    1,743.06/2,614.99 = 510.48/x
  3. Step 3: Cross multiply
    1,743.06x = 2,614.99 × 510.48
  4. Step 4: Simplify right side
    1,743.06x = 1,334,900.10
  5. Step 5: Solve for x
    x = 1,334,900.10/1,743.06
  6. Step 6: Final answer
    x = 765.84

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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.