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Finding the Fourth Proportional to 1,720.56, 2,580.96 and 855.36

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Solution

The fourth proportional to 1,720.56, 2,580.96 and 855.36 is: 1,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.56 : 2,580.96 = 855.36 : x
  2. Step 2: Convert to fraction form
    1,720.56/2,580.96 = 855.36/x
  3. Step 3: Cross multiply
    1,720.56x = 2,580.96 × 855.36
  4. Step 4: Simplify right side
    1,720.56x = 2,207,649.95
  5. Step 5: Solve for x
    x = 2,207,649.95/1,720.56
  6. Step 6: Final answer
    x = 1,283.10

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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.