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Finding the Fourth Proportional to 1,775.36, 2,645.20 and 1,676

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Solution

The fourth proportional to 1,775.36, 2,645.20 and 1,676 is: 2,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.36 : 2,645.20 = 1,676 : x
  2. Step 2: Convert to fraction form
    1,775.36/2,645.20 = 1,676/x
  3. Step 3: Cross multiply
    1,775.36x = 2,645.20 × 1,676
  4. Step 4: Simplify right side
    1,775.36x = 4,433,355.20
  5. Step 5: Solve for x
    x = 4,433,355.20/1,775.36
  6. Step 6: Final answer
    x = 2,497.16

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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.