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Finding the Fourth Proportional to 3,212.48, 4,815.02 and 1,477.46

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Solution

The fourth proportional to 3,212.48, 4,815.02 and 1,477.46 is: 2,214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.48 : 4,815.02 = 1,477.46 : x
  2. Step 2: Convert to fraction form
    3,212.48/4,815.02 = 1,477.46/x
  3. Step 3: Cross multiply
    3,212.48x = 4,815.02 × 1,477.46
  4. Step 4: Simplify right side
    3,212.48x = 7,113,999.45
  5. Step 5: Solve for x
    x = 7,113,999.45/3,212.48
  6. Step 6: Final answer
    x = 2,214.49

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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.