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Finding the Fourth Proportional to 1,573.27, 2,171.51 and 983.69

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Solution

The fourth proportional to 1,573.27, 2,171.51 and 983.69 is: 1,357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.27 : 2,171.51 = 983.69 : x
  2. Step 2: Convert to fraction form
    1,573.27/2,171.51 = 983.69/x
  3. Step 3: Cross multiply
    1,573.27x = 2,171.51 × 983.69
  4. Step 4: Simplify right side
    1,573.27x = 2,136,100.94
  5. Step 5: Solve for x
    x = 2,136,100.94/1,573.27
  6. Step 6: Final answer
    x = 1,357.74

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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.