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Finding the Fourth Proportional to 1,832.63, 2,520.32 and 1,455.17

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Solution

The fourth proportional to 1,832.63, 2,520.32 and 1,455.17 is: 2,001.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.63 : 2,520.32 = 1,455.17 : x
  2. Step 2: Convert to fraction form
    1,832.63/2,520.32 = 1,455.17/x
  3. Step 3: Cross multiply
    1,832.63x = 2,520.32 × 1,455.17
  4. Step 4: Simplify right side
    1,832.63x = 3,667,474.18
  5. Step 5: Solve for x
    x = 3,667,474.18/1,832.63
  6. Step 6: Final answer
    x = 2,001.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.