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Finding the Fourth Proportional to 3,001.85, 4,500.02 and 1,052.99

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Solution

The fourth proportional to 3,001.85, 4,500.02 and 1,052.99 is: 1,578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.85 : 4,500.02 = 1,052.99 : x
  2. Step 2: Convert to fraction form
    3,001.85/4,500.02 = 1,052.99/x
  3. Step 3: Cross multiply
    3,001.85x = 4,500.02 × 1,052.99
  4. Step 4: Simplify right side
    3,001.85x = 4,738,448.29
  5. Step 5: Solve for x
    x = 4,738,448.29/3,001.85
  6. Step 6: Final answer
    x = 1,578.51

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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.