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Finding the Fourth Proportional to 1,775.52, 2,663.19 and 1,082.34

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Solution

The fourth proportional to 1,775.52, 2,663.19 and 1,082.34 is: 1,623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.52 : 2,663.19 = 1,082.34 : x
  2. Step 2: Convert to fraction form
    1,775.52/2,663.19 = 1,082.34/x
  3. Step 3: Cross multiply
    1,775.52x = 2,663.19 × 1,082.34
  4. Step 4: Simplify right side
    1,775.52x = 2,882,477.06
  5. Step 5: Solve for x
    x = 2,882,477.06/1,775.52
  6. Step 6: Final answer
    x = 1,623.46

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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.