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Finding the Fourth Proportional to 2,147.75, 2,964.80 and 1,402.35

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Solution

The fourth proportional to 2,147.75, 2,964.80 and 1,402.35 is: 1,935.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.75 : 2,964.80 = 1,402.35 : x
  2. Step 2: Convert to fraction form
    2,147.75/2,964.80 = 1,402.35/x
  3. Step 3: Cross multiply
    2,147.75x = 2,964.80 × 1,402.35
  4. Step 4: Simplify right side
    2,147.75x = 4,157,687.28
  5. Step 5: Solve for x
    x = 4,157,687.28/2,147.75
  6. Step 6: Final answer
    x = 1,935.83

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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.