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Finding the Fourth Proportional to 2,271.48, 3,135.18 and 1,443

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Solution

The fourth proportional to 2,271.48, 3,135.18 and 1,443 is: 1,991.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.48 : 3,135.18 = 1,443 : x
  2. Step 2: Convert to fraction form
    2,271.48/3,135.18 = 1,443/x
  3. Step 3: Cross multiply
    2,271.48x = 3,135.18 × 1,443
  4. Step 4: Simplify right side
    2,271.48x = 4,524,064.74
  5. Step 5: Solve for x
    x = 4,524,064.74/2,271.48
  6. Step 6: Final answer
    x = 1,991.68

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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.