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Finding the Fourth Proportional to 2,871.34, 3,962.64 and 1,751.97

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Solution

The fourth proportional to 2,871.34, 3,962.64 and 1,751.97 is: 2,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.34 : 3,962.64 = 1,751.97 : x
  2. Step 2: Convert to fraction form
    2,871.34/3,962.64 = 1,751.97/x
  3. Step 3: Cross multiply
    2,871.34x = 3,962.64 × 1,751.97
  4. Step 4: Simplify right side
    2,871.34x = 6,942,426.40
  5. Step 5: Solve for x
    x = 6,942,426.40/2,871.34
  6. Step 6: Final answer
    x = 2,417.84

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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.