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Finding the Fourth Proportional to 2,300.07, 3,174.02 and 1,291.71

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Solution

The fourth proportional to 2,300.07, 3,174.02 and 1,291.71 is: 1,782.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.07 : 3,174.02 = 1,291.71 : x
  2. Step 2: Convert to fraction form
    2,300.07/3,174.02 = 1,291.71/x
  3. Step 3: Cross multiply
    2,300.07x = 3,174.02 × 1,291.71
  4. Step 4: Simplify right side
    2,300.07x = 4,099,923.66
  5. Step 5: Solve for x
    x = 4,099,923.66/2,300.07
  6. Step 6: Final answer
    x = 1,782.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.