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Finding the Fourth Proportional to 1,573.74, 2,171.57 and 944.15

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Solution

The fourth proportional to 1,573.74, 2,171.57 and 944.15 is: 1,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.74 : 2,171.57 = 944.15 : x
  2. Step 2: Convert to fraction form
    1,573.74/2,171.57 = 944.15/x
  3. Step 3: Cross multiply
    1,573.74x = 2,171.57 × 944.15
  4. Step 4: Simplify right side
    1,573.74x = 2,050,272.24
  5. Step 5: Solve for x
    x = 2,050,272.24/1,573.74
  6. Step 6: Final answer
    x = 1,302.80

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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.