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Finding the Fourth Proportional to 2,124.82, 3,184.80 and 955.72

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Solution

The fourth proportional to 2,124.82, 3,184.80 and 955.72 is: 1,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.82 : 3,184.80 = 955.72 : x
  2. Step 2: Convert to fraction form
    2,124.82/3,184.80 = 955.72/x
  3. Step 3: Cross multiply
    2,124.82x = 3,184.80 × 955.72
  4. Step 4: Simplify right side
    2,124.82x = 3,043,777.06
  5. Step 5: Solve for x
    x = 3,043,777.06/2,124.82
  6. Step 6: Final answer
    x = 1,432.49

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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.