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Finding the Fourth Proportional to 2,179.92, 3,009.71 and 1,782.55

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Solution

The fourth proportional to 2,179.92, 3,009.71 and 1,782.55 is: 2,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.92 : 3,009.71 = 1,782.55 : x
  2. Step 2: Convert to fraction form
    2,179.92/3,009.71 = 1,782.55/x
  3. Step 3: Cross multiply
    2,179.92x = 3,009.71 × 1,782.55
  4. Step 4: Simplify right side
    2,179.92x = 5,364,958.56
  5. Step 5: Solve for x
    x = 5,364,958.56/2,179.92
  6. Step 6: Final answer
    x = 2,461.08

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