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Finding the Fourth Proportional to 2,300.76, 3,434.45 and 2,129.44

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Solution

The fourth proportional to 2,300.76, 3,434.45 and 2,129.44 is: 3,178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.76 : 3,434.45 = 2,129.44 : x
  2. Step 2: Convert to fraction form
    2,300.76/3,434.45 = 2,129.44/x
  3. Step 3: Cross multiply
    2,300.76x = 3,434.45 × 2,129.44
  4. Step 4: Simplify right side
    2,300.76x = 7,313,455.21
  5. Step 5: Solve for x
    x = 7,313,455.21/2,300.76
  6. Step 6: Final answer
    x = 3,178.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.