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Finding the Fourth Proportional to 2,602.60, 3,905.43 and 960.29

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Solution

The fourth proportional to 2,602.60, 3,905.43 and 960.29 is: 1,441.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.60 : 3,905.43 = 960.29 : x
  2. Step 2: Convert to fraction form
    2,602.60/3,905.43 = 960.29/x
  3. Step 3: Cross multiply
    2,602.60x = 3,905.43 × 960.29
  4. Step 4: Simplify right side
    2,602.60x = 3,750,340.57
  5. Step 5: Solve for x
    x = 3,750,340.57/2,602.60
  6. Step 6: Final answer
    x = 1,441.00

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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.