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Finding the Fourth Proportional to 2,145.58, 2,961.28 and 1,261.43

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Solution

The fourth proportional to 2,145.58, 2,961.28 and 1,261.43 is: 1,740.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.58 : 2,961.28 = 1,261.43 : x
  2. Step 2: Convert to fraction form
    2,145.58/2,961.28 = 1,261.43/x
  3. Step 3: Cross multiply
    2,145.58x = 2,961.28 × 1,261.43
  4. Step 4: Simplify right side
    2,145.58x = 3,735,432.62
  5. Step 5: Solve for x
    x = 3,735,432.62/2,145.58
  6. Step 6: Final answer
    x = 1,740.99

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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.