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Finding the Fourth Proportional to 2,178.50, 3,008.81 and 1,478.66

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Solution

The fourth proportional to 2,178.50, 3,008.81 and 1,478.66 is: 2,042.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.50 : 3,008.81 = 1,478.66 : x
  2. Step 2: Convert to fraction form
    2,178.50/3,008.81 = 1,478.66/x
  3. Step 3: Cross multiply
    2,178.50x = 3,008.81 × 1,478.66
  4. Step 4: Simplify right side
    2,178.50x = 4,448,999.60
  5. Step 5: Solve for x
    x = 4,448,999.60/2,178.50
  6. Step 6: Final answer
    x = 2,042.23

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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.