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Finding the Fourth Proportional to 2,178.54, 3,005.37 and 1,293.84

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Solution

The fourth proportional to 2,178.54, 3,005.37 and 1,293.84 is: 1,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.54 : 3,005.37 = 1,293.84 : x
  2. Step 2: Convert to fraction form
    2,178.54/3,005.37 = 1,293.84/x
  3. Step 3: Cross multiply
    2,178.54x = 3,005.37 × 1,293.84
  4. Step 4: Simplify right side
    2,178.54x = 3,888,467.92
  5. Step 5: Solve for x
    x = 3,888,467.92/2,178.54
  6. Step 6: Final answer
    x = 1,784.90

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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.