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Finding the Fourth Proportional to 2,084.58, 2,877.63 and 1,299.14

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Solution

The fourth proportional to 2,084.58, 2,877.63 and 1,299.14 is: 1,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.58 : 2,877.63 = 1,299.14 : x
  2. Step 2: Convert to fraction form
    2,084.58/2,877.63 = 1,299.14/x
  3. Step 3: Cross multiply
    2,084.58x = 2,877.63 × 1,299.14
  4. Step 4: Simplify right side
    2,084.58x = 3,738,444.24
  5. Step 5: Solve for x
    x = 3,738,444.24/2,084.58
  6. Step 6: Final answer
    x = 1,793.38

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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.