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Finding the Fourth Proportional to 1,661.07, 2,291.58 and 997.77

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Solution

The fourth proportional to 1,661.07, 2,291.58 and 997.77 is: 1,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.07 : 2,291.58 = 997.77 : x
  2. Step 2: Convert to fraction form
    1,661.07/2,291.58 = 997.77/x
  3. Step 3: Cross multiply
    1,661.07x = 2,291.58 × 997.77
  4. Step 4: Simplify right side
    1,661.07x = 2,286,469.78
  5. Step 5: Solve for x
    x = 2,286,469.78/1,661.07
  6. Step 6: Final answer
    x = 1,376.50

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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.