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Finding the Fourth Proportional to 3,003.66, 4,500 and 2,076.60

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Solution

The fourth proportional to 3,003.66, 4,500 and 2,076.60 is: 3,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.66 : 4,500 = 2,076.60 : x
  2. Step 2: Convert to fraction form
    3,003.66/4,500 = 2,076.60/x
  3. Step 3: Cross multiply
    3,003.66x = 4,500 × 2,076.60
  4. Step 4: Simplify right side
    3,003.66x = 9,344,700
  5. Step 5: Solve for x
    x = 9,344,700/3,003.66
  6. Step 6: Final answer
    x = 3,111.10

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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.