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Finding the Fourth Proportional to 2,129.76, 3,186.41 and 2,124.27

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Solution

The fourth proportional to 2,129.76, 3,186.41 and 2,124.27 is: 3,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.76 : 3,186.41 = 2,124.27 : x
  2. Step 2: Convert to fraction form
    2,129.76/3,186.41 = 2,124.27/x
  3. Step 3: Cross multiply
    2,129.76x = 3,186.41 × 2,124.27
  4. Step 4: Simplify right side
    2,129.76x = 6,768,784.55
  5. Step 5: Solve for x
    x = 6,768,784.55/2,129.76
  6. Step 6: Final answer
    x = 3,178.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.