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Finding the Fourth Proportional to 2,178.90, 3,005.37 and 1,293.98

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Solution

The fourth proportional to 2,178.90, 3,005.37 and 1,293.98 is: 1,784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.90 : 3,005.37 = 1,293.98 : x
  2. Step 2: Convert to fraction form
    2,178.90/3,005.37 = 1,293.98/x
  3. Step 3: Cross multiply
    2,178.90x = 3,005.37 × 1,293.98
  4. Step 4: Simplify right side
    2,178.90x = 3,888,873.65
  5. Step 5: Solve for x
    x = 3,888,873.65/2,178.90
  6. Step 6: Final answer
    x = 1,784.79

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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.