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Finding the Fourth Proportional to 2,178.68, 3,264.08 and 1,009.66

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Solution

The fourth proportional to 2,178.68, 3,264.08 and 1,009.66 is: 1,512.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.68 : 3,264.08 = 1,009.66 : x
  2. Step 2: Convert to fraction form
    2,178.68/3,264.08 = 1,009.66/x
  3. Step 3: Cross multiply
    2,178.68x = 3,264.08 × 1,009.66
  4. Step 4: Simplify right side
    2,178.68x = 3,295,611.01
  5. Step 5: Solve for x
    x = 3,295,611.01/2,178.68
  6. Step 6: Final answer
    x = 1,512.66

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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.