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Finding the Fourth Proportional to 2,012.47, 3,019.33 and 902.81

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Solution

The fourth proportional to 2,012.47, 3,019.33 and 902.81 is: 1,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.47 : 3,019.33 = 902.81 : x
  2. Step 2: Convert to fraction form
    2,012.47/3,019.33 = 902.81/x
  3. Step 3: Cross multiply
    2,012.47x = 3,019.33 × 902.81
  4. Step 4: Simplify right side
    2,012.47x = 2,725,889.99
  5. Step 5: Solve for x
    x = 2,725,889.99/2,012.47
  6. Step 6: Final answer
    x = 1,354.50

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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.