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Finding the Fourth Proportional to 1,775.70, 2,660.38 and 1,082.01

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Solution

The fourth proportional to 1,775.70, 2,660.38 and 1,082.01 is: 1,621.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.70 : 2,660.38 = 1,082.01 : x
  2. Step 2: Convert to fraction form
    1,775.70/2,660.38 = 1,082.01/x
  3. Step 3: Cross multiply
    1,775.70x = 2,660.38 × 1,082.01
  4. Step 4: Simplify right side
    1,775.70x = 2,878,556.16
  5. Step 5: Solve for x
    x = 2,878,556.16/1,775.70
  6. Step 6: Final answer
    x = 1,621.08

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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.