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Finding the Fourth Proportional to 2,109.88, 3,165.20 and 1,013.48

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Solution

The fourth proportional to 2,109.88, 3,165.20 and 1,013.48 is: 1,520.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.88 : 3,165.20 = 1,013.48 : x
  2. Step 2: Convert to fraction form
    2,109.88/3,165.20 = 1,013.48/x
  3. Step 3: Cross multiply
    2,109.88x = 3,165.20 × 1,013.48
  4. Step 4: Simplify right side
    2,109.88x = 3,207,866.90
  5. Step 5: Solve for x
    x = 3,207,866.90/2,109.88
  6. Step 6: Final answer
    x = 1,520.40

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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.