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Finding the Fourth Proportional to 2,126.66, 3,187.20 and 1,029.54

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Solution

The fourth proportional to 2,126.66, 3,187.20 and 1,029.54 is: 1,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.66 : 3,187.20 = 1,029.54 : x
  2. Step 2: Convert to fraction form
    2,126.66/3,187.20 = 1,029.54/x
  3. Step 3: Cross multiply
    2,126.66x = 3,187.20 × 1,029.54
  4. Step 4: Simplify right side
    2,126.66x = 3,281,349.89
  5. Step 5: Solve for x
    x = 3,281,349.89/2,126.66
  6. Step 6: Final answer
    x = 1,542.96

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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.