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Finding the Fourth Proportional to 2,871.76, 4,308.73 and 1,484.23

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Solution

The fourth proportional to 2,871.76, 4,308.73 and 1,484.23 is: 2,226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.76 : 4,308.73 = 1,484.23 : x
  2. Step 2: Convert to fraction form
    2,871.76/4,308.73 = 1,484.23/x
  3. Step 3: Cross multiply
    2,871.76x = 4,308.73 × 1,484.23
  4. Step 4: Simplify right side
    2,871.76x = 6,395,131.85
  5. Step 5: Solve for x
    x = 6,395,131.85/2,871.76
  6. Step 6: Final answer
    x = 2,226.91

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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.