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Finding the Fourth Proportional to 2,453.31, 3,384.86 and 1,521.81

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Solution

The fourth proportional to 2,453.31, 3,384.86 and 1,521.81 is: 2,099.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.31 : 3,384.86 = 1,521.81 : x
  2. Step 2: Convert to fraction form
    2,453.31/3,384.86 = 1,521.81/x
  3. Step 3: Cross multiply
    2,453.31x = 3,384.86 × 1,521.81
  4. Step 4: Simplify right side
    2,453.31x = 5,151,106.19
  5. Step 5: Solve for x
    x = 5,151,106.19/2,453.31
  6. Step 6: Final answer
    x = 2,099.66

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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.