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Finding the Fourth Proportional to 2,303.76, 3,456.24 and 660.43

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Solution

The fourth proportional to 2,303.76, 3,456.24 and 660.43 is: 990.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.76 : 3,456.24 = 660.43 : x
  2. Step 2: Convert to fraction form
    2,303.76/3,456.24 = 660.43/x
  3. Step 3: Cross multiply
    2,303.76x = 3,456.24 × 660.43
  4. Step 4: Simplify right side
    2,303.76x = 2,282,604.58
  5. Step 5: Solve for x
    x = 2,282,604.58/2,303.76
  6. Step 6: Final answer
    x = 990.82

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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.