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Finding the Fourth Proportional to 2,084.76, 2,877.36 and 1,299.20

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Solution

The fourth proportional to 2,084.76, 2,877.36 and 1,299.20 is: 1,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.76 : 2,877.36 = 1,299.20 : x
  2. Step 2: Convert to fraction form
    2,084.76/2,877.36 = 1,299.20/x
  3. Step 3: Cross multiply
    2,084.76x = 2,877.36 × 1,299.20
  4. Step 4: Simplify right side
    2,084.76x = 3,738,266.11
  5. Step 5: Solve for x
    x = 3,738,266.11/2,084.76
  6. Step 6: Final answer
    x = 1,793.14

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Why These Related Problems?

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