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Finding the Fourth Proportional to 4,274.53, 6,407.41 and 1,641.33

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Solution

The fourth proportional to 4,274.53, 6,407.41 and 1,641.33 is: 2,460.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.53 : 6,407.41 = 1,641.33 : x
  2. Step 2: Convert to fraction form
    4,274.53/6,407.41 = 1,641.33/x
  3. Step 3: Cross multiply
    4,274.53x = 6,407.41 × 1,641.33
  4. Step 4: Simplify right side
    4,274.53x = 10,516,674.26
  5. Step 5: Solve for x
    x = 10,516,674.26/4,274.53
  6. Step 6: Final answer
    x = 2,460.31

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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.