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Finding the Fourth Proportional to 2,802.60, 4,201.74 and 952.56

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Solution

The fourth proportional to 2,802.60, 4,201.74 and 952.56 is: 1,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.60 : 4,201.74 = 952.56 : x
  2. Step 2: Convert to fraction form
    2,802.60/4,201.74 = 952.56/x
  3. Step 3: Cross multiply
    2,802.60x = 4,201.74 × 952.56
  4. Step 4: Simplify right side
    2,802.60x = 4,002,409.45
  5. Step 5: Solve for x
    x = 4,002,409.45/2,802.60
  6. Step 6: Final answer
    x = 1,428.11

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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.