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Finding the Fourth Proportional to 2,756.61, 3,805.44 and 1,577.46

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Solution

The fourth proportional to 2,756.61, 3,805.44 and 1,577.46 is: 2,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.61 : 3,805.44 = 1,577.46 : x
  2. Step 2: Convert to fraction form
    2,756.61/3,805.44 = 1,577.46/x
  3. Step 3: Cross multiply
    2,756.61x = 3,805.44 × 1,577.46
  4. Step 4: Simplify right side
    2,756.61x = 6,002,929.38
  5. Step 5: Solve for x
    x = 6,002,929.38/2,756.61
  6. Step 6: Final answer
    x = 2,177.65

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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.