Home / 1,743.41-2,615.13-510.84

Finding the Fourth Proportional to 1,743.41, 2,615.13 and 510.84

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Solution

The fourth proportional to 1,743.41, 2,615.13 and 510.84 is: 766.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.41 : 2,615.13 = 510.84 : x
  2. Step 2: Convert to fraction form
    1,743.41/2,615.13 = 510.84/x
  3. Step 3: Cross multiply
    1,743.41x = 2,615.13 × 510.84
  4. Step 4: Simplify right side
    1,743.41x = 1,335,913.01
  5. Step 5: Solve for x
    x = 1,335,913.01/1,743.41
  6. Step 6: Final answer
    x = 766.27

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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.