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Finding the Fourth Proportional to 4,660.98, 6,991.54 and 1,151

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Solution

The fourth proportional to 4,660.98, 6,991.54 and 1,151 is: 1,726.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.98 : 6,991.54 = 1,151 : x
  2. Step 2: Convert to fraction form
    4,660.98/6,991.54 = 1,151/x
  3. Step 3: Cross multiply
    4,660.98x = 6,991.54 × 1,151
  4. Step 4: Simplify right side
    4,660.98x = 8,047,262.54
  5. Step 5: Solve for x
    x = 8,047,262.54/4,660.98
  6. Step 6: Final answer
    x = 1,726.52

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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.