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Finding the Fourth Proportional to 2,100.89, 3,149.28 and 1,006.02

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Solution

The fourth proportional to 2,100.89, 3,149.28 and 1,006.02 is: 1,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.89 : 3,149.28 = 1,006.02 : x
  2. Step 2: Convert to fraction form
    2,100.89/3,149.28 = 1,006.02/x
  3. Step 3: Cross multiply
    2,100.89x = 3,149.28 × 1,006.02
  4. Step 4: Simplify right side
    2,100.89x = 3,168,238.67
  5. Step 5: Solve for x
    x = 3,168,238.67/2,100.89
  6. Step 6: Final answer
    x = 1,508.05

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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.