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Finding the Fourth Proportional to 2,832.03, 3,907.98 and 1,573.02

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Solution

The fourth proportional to 2,832.03, 3,907.98 and 1,573.02 is: 2,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.03 : 3,907.98 = 1,573.02 : x
  2. Step 2: Convert to fraction form
    2,832.03/3,907.98 = 1,573.02/x
  3. Step 3: Cross multiply
    2,832.03x = 3,907.98 × 1,573.02
  4. Step 4: Simplify right side
    2,832.03x = 6,147,330.70
  5. Step 5: Solve for x
    x = 6,147,330.70/2,832.03
  6. Step 6: Final answer
    x = 2,170.64

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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.