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Finding the Fourth Proportional to 2,814.85, 3,888.45 and 2,032.99

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Solution

The fourth proportional to 2,814.85, 3,888.45 and 2,032.99 is: 2,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.85 : 3,888.45 = 2,032.99 : x
  2. Step 2: Convert to fraction form
    2,814.85/3,888.45 = 2,032.99/x
  3. Step 3: Cross multiply
    2,814.85x = 3,888.45 × 2,032.99
  4. Step 4: Simplify right side
    2,814.85x = 7,905,179.97
  5. Step 5: Solve for x
    x = 7,905,179.97/2,814.85
  6. Step 6: Final answer
    x = 2,808.38

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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.