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Finding the Fourth Proportional to 4,604.09, 6,905.09 and 1,483.50

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Solution

The fourth proportional to 4,604.09, 6,905.09 and 1,483.50 is: 2,224.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.09 : 6,905.09 = 1,483.50 : x
  2. Step 2: Convert to fraction form
    4,604.09/6,905.09 = 1,483.50/x
  3. Step 3: Cross multiply
    4,604.09x = 6,905.09 × 1,483.50
  4. Step 4: Simplify right side
    4,604.09x = 10,243,670.20
  5. Step 5: Solve for x
    x = 10,243,670.20/4,604.09
  6. Step 6: Final answer
    x = 2,224.91

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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.