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Finding the Fourth Proportional to 2,108.50, 2,911.06 and 1,884.04

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Solution

The fourth proportional to 2,108.50, 2,911.06 and 1,884.04 is: 2,601.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.50 : 2,911.06 = 1,884.04 : x
  2. Step 2: Convert to fraction form
    2,108.50/2,911.06 = 1,884.04/x
  3. Step 3: Cross multiply
    2,108.50x = 2,911.06 × 1,884.04
  4. Step 4: Simplify right side
    2,108.50x = 5,484,553.48
  5. Step 5: Solve for x
    x = 5,484,553.48/2,108.50
  6. Step 6: Final answer
    x = 2,601.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.