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Finding the Fourth Proportional to 2,003.04, 3,006 and 1,234.08

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Solution

The fourth proportional to 2,003.04, 3,006 and 1,234.08 is: 1,852.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.04 : 3,006 = 1,234.08 : x
  2. Step 2: Convert to fraction form
    2,003.04/3,006 = 1,234.08/x
  3. Step 3: Cross multiply
    2,003.04x = 3,006 × 1,234.08
  4. Step 4: Simplify right side
    2,003.04x = 3,709,644.48
  5. Step 5: Solve for x
    x = 3,709,644.48/2,003.04
  6. Step 6: Final answer
    x = 1,852.01

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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.