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Finding the Fourth Proportional to 2,300.30, 3,174.19 and 1,291.78

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Solution

The fourth proportional to 2,300.30, 3,174.19 and 1,291.78 is: 1,782.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.30 : 3,174.19 = 1,291.78 : x
  2. Step 2: Convert to fraction form
    2,300.30/3,174.19 = 1,291.78/x
  3. Step 3: Cross multiply
    2,300.30x = 3,174.19 × 1,291.78
  4. Step 4: Simplify right side
    2,300.30x = 4,100,339.29
  5. Step 5: Solve for x
    x = 4,100,339.29/2,300.30
  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.