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Finding the Fourth Proportional to 1,720, 2,584.80 and 1,026.80

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Solution

The fourth proportional to 1,720, 2,584.80 and 1,026.80 is: 1,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720 : 2,584.80 = 1,026.80 : x
  2. Step 2: Convert to fraction form
    1,720/2,584.80 = 1,026.80/x
  3. Step 3: Cross multiply
    1,720x = 2,584.80 × 1,026.80
  4. Step 4: Simplify right side
    1,720x = 2,654,072.64
  5. Step 5: Solve for x
    x = 2,654,072.64/1,720
  6. Step 6: Final answer
    x = 1,543.07

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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.