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Finding the Fourth Proportional to 4,382.01, 6,574.01 and 1,460.43

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Solution

The fourth proportional to 4,382.01, 6,574.01 and 1,460.43 is: 2,190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.01 : 6,574.01 = 1,460.43 : x
  2. Step 2: Convert to fraction form
    4,382.01/6,574.01 = 1,460.43/x
  3. Step 3: Cross multiply
    4,382.01x = 6,574.01 × 1,460.43
  4. Step 4: Simplify right side
    4,382.01x = 9,600,874.12
  5. Step 5: Solve for x
    x = 9,600,874.12/4,382.01
  6. Step 6: Final answer
    x = 2,190.97

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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.