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Finding the Fourth Proportional to 1,575.88, 2,173.14 and 1,102.84

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Solution

The fourth proportional to 1,575.88, 2,173.14 and 1,102.84 is: 1,520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.88 : 2,173.14 = 1,102.84 : x
  2. Step 2: Convert to fraction form
    1,575.88/2,173.14 = 1,102.84/x
  3. Step 3: Cross multiply
    1,575.88x = 2,173.14 × 1,102.84
  4. Step 4: Simplify right side
    1,575.88x = 2,396,625.72
  5. Step 5: Solve for x
    x = 2,396,625.72/1,575.88
  6. Step 6: Final answer
    x = 1,520.82

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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.