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Finding the Fourth Proportional to 2,701.64, 3,728.82 and 1,583.16

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Solution

The fourth proportional to 2,701.64, 3,728.82 and 1,583.16 is: 2,185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.64 : 3,728.82 = 1,583.16 : x
  2. Step 2: Convert to fraction form
    2,701.64/3,728.82 = 1,583.16/x
  3. Step 3: Cross multiply
    2,701.64x = 3,728.82 × 1,583.16
  4. Step 4: Simplify right side
    2,701.64x = 5,903,318.67
  5. Step 5: Solve for x
    x = 5,903,318.67/2,701.64
  6. Step 6: Final answer
    x = 2,185.09

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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.