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Finding the Fourth Proportional to 4,338.25, 6,507.56 and 1,260.25

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Solution

The fourth proportional to 4,338.25, 6,507.56 and 1,260.25 is: 1,890.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.25 : 6,507.56 = 1,260.25 : x
  2. Step 2: Convert to fraction form
    4,338.25/6,507.56 = 1,260.25/x
  3. Step 3: Cross multiply
    4,338.25x = 6,507.56 × 1,260.25
  4. Step 4: Simplify right side
    4,338.25x = 8,201,152.49
  5. Step 5: Solve for x
    x = 8,201,152.49/4,338.25
  6. Step 6: Final answer
    x = 1,890.43

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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.