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Finding the Fourth Proportional to 1,729.76, 2,590.02 and 1,183.01

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Solution

The fourth proportional to 1,729.76, 2,590.02 and 1,183.01 is: 1,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.76 : 2,590.02 = 1,183.01 : x
  2. Step 2: Convert to fraction form
    1,729.76/2,590.02 = 1,183.01/x
  3. Step 3: Cross multiply
    1,729.76x = 2,590.02 × 1,183.01
  4. Step 4: Simplify right side
    1,729.76x = 3,064,006.61
  5. Step 5: Solve for x
    x = 3,064,006.61/1,729.76
  6. Step 6: Final answer
    x = 1,771.35

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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.