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Finding the Fourth Proportional to 2,178.99, 3,269.30 and 1,009.55

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Solution

The fourth proportional to 2,178.99, 3,269.30 and 1,009.55 is: 1,514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.99 : 3,269.30 = 1,009.55 : x
  2. Step 2: Convert to fraction form
    2,178.99/3,269.30 = 1,009.55/x
  3. Step 3: Cross multiply
    2,178.99x = 3,269.30 × 1,009.55
  4. Step 4: Simplify right side
    2,178.99x = 3,300,524.94
  5. Step 5: Solve for x
    x = 3,300,524.94/2,178.99
  6. Step 6: Final answer
    x = 1,514.70

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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.