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Finding the Fourth Proportional to 2,602.50, 3,903.96 and 959.52

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Solution

The fourth proportional to 2,602.50, 3,903.96 and 959.52 is: 1,439.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.50 : 3,903.96 = 959.52 : x
  2. Step 2: Convert to fraction form
    2,602.50/3,903.96 = 959.52/x
  3. Step 3: Cross multiply
    2,602.50x = 3,903.96 × 959.52
  4. Step 4: Simplify right side
    2,602.50x = 3,745,927.70
  5. Step 5: Solve for x
    x = 3,745,927.70/2,602.50
  6. Step 6: Final answer
    x = 1,439.36

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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.