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Finding the Fourth Proportional to 2,003.04, 3,005.76 and 977.04

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Solution

The fourth proportional to 2,003.04, 3,005.76 and 977.04 is: 1,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.04 : 3,005.76 = 977.04 : x
  2. Step 2: Convert to fraction form
    2,003.04/3,005.76 = 977.04/x
  3. Step 3: Cross multiply
    2,003.04x = 3,005.76 × 977.04
  4. Step 4: Simplify right side
    2,003.04x = 2,936,747.75
  5. Step 5: Solve for x
    x = 2,936,747.75/2,003.04
  6. Step 6: Final answer
    x = 1,466.15

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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.