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Finding the Fourth Proportional to 1,647.40, 2,273.64 and 948.76

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Solution

The fourth proportional to 1,647.40, 2,273.64 and 948.76 is: 1,309.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.40 : 2,273.64 = 948.76 : x
  2. Step 2: Convert to fraction form
    1,647.40/2,273.64 = 948.76/x
  3. Step 3: Cross multiply
    1,647.40x = 2,273.64 × 948.76
  4. Step 4: Simplify right side
    1,647.40x = 2,157,138.69
  5. Step 5: Solve for x
    x = 2,157,138.69/1,647.40
  6. Step 6: Final answer
    x = 1,309.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.