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Finding the Fourth Proportional to 2,178.75, 3,000.18 and 1,846.47

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Solution

The fourth proportional to 2,178.75, 3,000.18 and 1,846.47 is: 2,542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.75 : 3,000.18 = 1,846.47 : x
  2. Step 2: Convert to fraction form
    2,178.75/3,000.18 = 1,846.47/x
  3. Step 3: Cross multiply
    2,178.75x = 3,000.18 × 1,846.47
  4. Step 4: Simplify right side
    2,178.75x = 5,539,742.36
  5. Step 5: Solve for x
    x = 5,539,742.36/2,178.75
  6. Step 6: Final answer
    x = 2,542.62

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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.