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Finding the Fourth Proportional to 2,178.01, 3,271.21 and 1,866.36

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Solution

The fourth proportional to 2,178.01, 3,271.21 and 1,866.36 is: 2,803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.01 : 3,271.21 = 1,866.36 : x
  2. Step 2: Convert to fraction form
    2,178.01/3,271.21 = 1,866.36/x
  3. Step 3: Cross multiply
    2,178.01x = 3,271.21 × 1,866.36
  4. Step 4: Simplify right side
    2,178.01x = 6,105,251.98
  5. Step 5: Solve for x
    x = 6,105,251.98/2,178.01
  6. Step 6: Final answer
    x = 2,803.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.