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Finding the Fourth Proportional to 2,840.05, 4,260.08 and 1,382.05

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Solution

The fourth proportional to 2,840.05, 4,260.08 and 1,382.05 is: 2,073.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.05 : 4,260.08 = 1,382.05 : x
  2. Step 2: Convert to fraction form
    2,840.05/4,260.08 = 1,382.05/x
  3. Step 3: Cross multiply
    2,840.05x = 4,260.08 × 1,382.05
  4. Step 4: Simplify right side
    2,840.05x = 5,887,643.56
  5. Step 5: Solve for x
    x = 5,887,643.56/2,840.05
  6. Step 6: Final answer
    x = 2,073.08

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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.