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Finding the Fourth Proportional to 2,763.54, 4,145.70 and 1,032

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Solution

The fourth proportional to 2,763.54, 4,145.70 and 1,032 is: 1,548.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.54 : 4,145.70 = 1,032 : x
  2. Step 2: Convert to fraction form
    2,763.54/4,145.70 = 1,032/x
  3. Step 3: Cross multiply
    2,763.54x = 4,145.70 × 1,032
  4. Step 4: Simplify right side
    2,763.54x = 4,278,362.40
  5. Step 5: Solve for x
    x = 4,278,362.40/2,763.54
  6. Step 6: Final answer
    x = 1,548.15

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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.