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Finding the Fourth Proportional to 2,888.62, 3,988.14 and 2,004.10

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Solution

The fourth proportional to 2,888.62, 3,988.14 and 2,004.10 is: 2,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.62 : 3,988.14 = 2,004.10 : x
  2. Step 2: Convert to fraction form
    2,888.62/3,988.14 = 2,004.10/x
  3. Step 3: Cross multiply
    2,888.62x = 3,988.14 × 2,004.10
  4. Step 4: Simplify right side
    2,888.62x = 7,992,631.37
  5. Step 5: Solve for x
    x = 7,992,631.37/2,888.62
  6. Step 6: Final answer
    x = 2,766.94

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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.