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Finding the Fourth Proportional to 2,004.72, 3,002.52 and 1,385.62

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Solution

The fourth proportional to 2,004.72, 3,002.52 and 1,385.62 is: 2,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.72 : 3,002.52 = 1,385.62 : x
  2. Step 2: Convert to fraction form
    2,004.72/3,002.52 = 1,385.62/x
  3. Step 3: Cross multiply
    2,004.72x = 3,002.52 × 1,385.62
  4. Step 4: Simplify right side
    2,004.72x = 4,160,351.76
  5. Step 5: Solve for x
    x = 4,160,351.76/2,004.72
  6. Step 6: Final answer
    x = 2,075.28

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