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Finding the Fourth Proportional to 2,961.39, 4,442.03 and 1,713.86

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Solution

The fourth proportional to 2,961.39, 4,442.03 and 1,713.86 is: 2,570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.39 : 4,442.03 = 1,713.86 : x
  2. Step 2: Convert to fraction form
    2,961.39/4,442.03 = 1,713.86/x
  3. Step 3: Cross multiply
    2,961.39x = 4,442.03 × 1,713.86
  4. Step 4: Simplify right side
    2,961.39x = 7,612,986.76
  5. Step 5: Solve for x
    x = 7,612,986.76/2,961.39
  6. Step 6: Final answer
    x = 2,570.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.