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Finding the Fourth Proportional to 2,004, 2,765.84 and 1,452.96

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Solution

The fourth proportional to 2,004, 2,765.84 and 1,452.96 is: 2,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004 : 2,765.84 = 1,452.96 : x
  2. Step 2: Convert to fraction form
    2,004/2,765.84 = 1,452.96/x
  3. Step 3: Cross multiply
    2,004x = 2,765.84 × 1,452.96
  4. Step 4: Simplify right side
    2,004x = 4,018,654.89
  5. Step 5: Solve for x
    x = 4,018,654.89/2,004
  6. Step 6: Final answer
    x = 2,005.32

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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.