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Finding the Fourth Proportional to 2,798.18, 4,193.48 and 1,065.86

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Solution

The fourth proportional to 2,798.18, 4,193.48 and 1,065.86 is: 1,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.18 : 4,193.48 = 1,065.86 : x
  2. Step 2: Convert to fraction form
    2,798.18/4,193.48 = 1,065.86/x
  3. Step 3: Cross multiply
    2,798.18x = 4,193.48 × 1,065.86
  4. Step 4: Simplify right side
    2,798.18x = 4,469,644.29
  5. Step 5: Solve for x
    x = 4,469,644.29/2,798.18
  6. Step 6: Final answer
    x = 1,597.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.