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Finding the Fourth Proportional to 2,178.08, 3,266 and 1,300.80

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Solution

The fourth proportional to 2,178.08, 3,266 and 1,300.80 is: 1,950.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.08 : 3,266 = 1,300.80 : x
  2. Step 2: Convert to fraction form
    2,178.08/3,266 = 1,300.80/x
  3. Step 3: Cross multiply
    2,178.08x = 3,266 × 1,300.80
  4. Step 4: Simplify right side
    2,178.08x = 4,248,412.80
  5. Step 5: Solve for x
    x = 4,248,412.80/2,178.08
  6. Step 6: Final answer
    x = 1,950.53

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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.