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Finding the Fourth Proportional to 2,376.06, 3,563.99 and 732.53

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Solution

The fourth proportional to 2,376.06, 3,563.99 and 732.53 is: 1,098.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.06 : 3,563.99 = 732.53 : x
  2. Step 2: Convert to fraction form
    2,376.06/3,563.99 = 732.53/x
  3. Step 3: Cross multiply
    2,376.06x = 3,563.99 × 732.53
  4. Step 4: Simplify right side
    2,376.06x = 2,610,708.11
  5. Step 5: Solve for x
    x = 2,610,708.11/2,376.06
  6. Step 6: Final answer
    x = 1,098.76

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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.