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Finding the Fourth Proportional to 2,710.44, 3,741.12 and 1,871.28

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Solution

The fourth proportional to 2,710.44, 3,741.12 and 1,871.28 is: 2,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.44 : 3,741.12 = 1,871.28 : x
  2. Step 2: Convert to fraction form
    2,710.44/3,741.12 = 1,871.28/x
  3. Step 3: Cross multiply
    2,710.44x = 3,741.12 × 1,871.28
  4. Step 4: Simplify right side
    2,710.44x = 7,000,683.03
  5. Step 5: Solve for x
    x = 7,000,683.03/2,710.44
  6. Step 6: Final answer
    x = 2,582.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.