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Finding the Fourth Proportional to 4,606.20, 6,907.95 and 1,644.30

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Solution

The fourth proportional to 4,606.20, 6,907.95 and 1,644.30 is: 2,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.20 : 6,907.95 = 1,644.30 : x
  2. Step 2: Convert to fraction form
    4,606.20/6,907.95 = 1,644.30/x
  3. Step 3: Cross multiply
    4,606.20x = 6,907.95 × 1,644.30
  4. Step 4: Simplify right side
    4,606.20x = 11,358,742.19
  5. Step 5: Solve for x
    x = 11,358,742.19/4,606.20
  6. Step 6: Final answer
    x = 2,465.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.