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Finding the Fourth Proportional to 2,186.64, 3,277.80 and 889.02

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Solution

The fourth proportional to 2,186.64, 3,277.80 and 889.02 is: 1,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.64 : 3,277.80 = 889.02 : x
  2. Step 2: Convert to fraction form
    2,186.64/3,277.80 = 889.02/x
  3. Step 3: Cross multiply
    2,186.64x = 3,277.80 × 889.02
  4. Step 4: Simplify right side
    2,186.64x = 2,914,029.76
  5. Step 5: Solve for x
    x = 2,914,029.76/2,186.64
  6. Step 6: Final answer
    x = 1,332.65

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Why These Related Problems?

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