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Finding the Fourth Proportional to 1,743.00, 2,614.92 and 510.41

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Solution

The fourth proportional to 1,743.00, 2,614.92 and 510.41 is: 765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.00 : 2,614.92 = 510.41 : x
  2. Step 2: Convert to fraction form
    1,743.00/2,614.92 = 510.41/x
  3. Step 3: Cross multiply
    1,743.00x = 2,614.92 × 510.41
  4. Step 4: Simplify right side
    1,743.00x = 1,334,685.94
  5. Step 5: Solve for x
    x = 1,334,685.94/1,743.00
  6. Step 6: Final answer
    x = 765.74

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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.