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Finding the Fourth Proportional to 2,088.50, 2,882.10 and 1,204.40

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Solution

The fourth proportional to 2,088.50, 2,882.10 and 1,204.40 is: 1,662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.50 : 2,882.10 = 1,204.40 : x
  2. Step 2: Convert to fraction form
    2,088.50/2,882.10 = 1,204.40/x
  3. Step 3: Cross multiply
    2,088.50x = 2,882.10 × 1,204.40
  4. Step 4: Simplify right side
    2,088.50x = 3,471,201.24
  5. Step 5: Solve for x
    x = 3,471,201.24/2,088.50
  6. Step 6: Final answer
    x = 1,662.05

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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.