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Finding the Fourth Proportional to 1,660.98, 2,292.21 and 914.97

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Solution

The fourth proportional to 1,660.98, 2,292.21 and 914.97 is: 1,262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.98 : 2,292.21 = 914.97 : x
  2. Step 2: Convert to fraction form
    1,660.98/2,292.21 = 914.97/x
  3. Step 3: Cross multiply
    1,660.98x = 2,292.21 × 914.97
  4. Step 4: Simplify right side
    1,660.98x = 2,097,303.38
  5. Step 5: Solve for x
    x = 2,097,303.38/1,660.98
  6. Step 6: Final answer
    x = 1,262.69

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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.