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Finding the Fourth Proportional to 1,725.76, 2,380.08 and 1,166.08

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Solution

The fourth proportional to 1,725.76, 2,380.08 and 1,166.08 is: 1,608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.76 : 2,380.08 = 1,166.08 : x
  2. Step 2: Convert to fraction form
    1,725.76/2,380.08 = 1,166.08/x
  3. Step 3: Cross multiply
    1,725.76x = 2,380.08 × 1,166.08
  4. Step 4: Simplify right side
    1,725.76x = 2,775,363.69
  5. Step 5: Solve for x
    x = 2,775,363.69/1,725.76
  6. Step 6: Final answer
    x = 1,608.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.