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Finding the Fourth Proportional to 2,184.72, 3,277.62 and 952.35

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Solution

The fourth proportional to 2,184.72, 3,277.62 and 952.35 is: 1,428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.72 : 3,277.62 = 952.35 : x
  2. Step 2: Convert to fraction form
    2,184.72/3,277.62 = 952.35/x
  3. Step 3: Cross multiply
    2,184.72x = 3,277.62 × 952.35
  4. Step 4: Simplify right side
    2,184.72x = 3,121,441.41
  5. Step 5: Solve for x
    x = 3,121,441.41/2,184.72
  6. Step 6: Final answer
    x = 1,428.76

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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.