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Finding the Fourth Proportional to 2,273.52, 3,409.76 and 973.92

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Solution

The fourth proportional to 2,273.52, 3,409.76 and 973.92 is: 1,460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.52 : 3,409.76 = 973.92 : x
  2. Step 2: Convert to fraction form
    2,273.52/3,409.76 = 973.92/x
  3. Step 3: Cross multiply
    2,273.52x = 3,409.76 × 973.92
  4. Step 4: Simplify right side
    2,273.52x = 3,320,833.46
  5. Step 5: Solve for x
    x = 3,320,833.46/2,273.52
  6. Step 6: Final answer
    x = 1,460.66

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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.