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Finding the Fourth Proportional to 1,573.94, 2,171.91 and 875.30

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Solution

The fourth proportional to 1,573.94, 2,171.91 and 875.30 is: 1,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.94 : 2,171.91 = 875.30 : x
  2. Step 2: Convert to fraction form
    1,573.94/2,171.91 = 875.30/x
  3. Step 3: Cross multiply
    1,573.94x = 2,171.91 × 875.30
  4. Step 4: Simplify right side
    1,573.94x = 1,901,072.82
  5. Step 5: Solve for x
    x = 1,901,072.82/1,573.94
  6. Step 6: Final answer
    x = 1,207.84

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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.