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Finding the Fourth Proportional to 2,128.80, 3,178.04 and 1,800.66

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Solution

The fourth proportional to 2,128.80, 3,178.04 and 1,800.66 is: 2,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.80 : 3,178.04 = 1,800.66 : x
  2. Step 2: Convert to fraction form
    2,128.80/3,178.04 = 1,800.66/x
  3. Step 3: Cross multiply
    2,128.80x = 3,178.04 × 1,800.66
  4. Step 4: Simplify right side
    2,128.80x = 5,722,560.50
  5. Step 5: Solve for x
    x = 5,722,560.50/2,128.80
  6. Step 6: Final answer
    x = 2,688.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.