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Finding the Fourth Proportional to 1,775.36, 2,649.60 and 1,729.28

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Solution

The fourth proportional to 1,775.36, 2,649.60 and 1,729.28 is: 2,580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.36 : 2,649.60 = 1,729.28 : x
  2. Step 2: Convert to fraction form
    1,775.36/2,649.60 = 1,729.28/x
  3. Step 3: Cross multiply
    1,775.36x = 2,649.60 × 1,729.28
  4. Step 4: Simplify right side
    1,775.36x = 4,581,900.29
  5. Step 5: Solve for x
    x = 4,581,900.29/1,775.36
  6. Step 6: Final answer
    x = 2,580.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.