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Finding the Fourth Proportional to 1,573.55, 2,171.51 and 984.43

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Solution

The fourth proportional to 1,573.55, 2,171.51 and 984.43 is: 1,358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.55 : 2,171.51 = 984.43 : x
  2. Step 2: Convert to fraction form
    1,573.55/2,171.51 = 984.43/x
  3. Step 3: Cross multiply
    1,573.55x = 2,171.51 × 984.43
  4. Step 4: Simplify right side
    1,573.55x = 2,137,699.59
  5. Step 5: Solve for x
    x = 2,137,699.59/1,573.55
  6. Step 6: Final answer
    x = 1,358.52

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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.