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Finding the Fourth Proportional to 2,140.68, 2,953.98 and 1,443

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Solution

The fourth proportional to 2,140.68, 2,953.98 and 1,443 is: 1,991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.68 : 2,953.98 = 1,443 : x
  2. Step 2: Convert to fraction form
    2,140.68/2,953.98 = 1,443/x
  3. Step 3: Cross multiply
    2,140.68x = 2,953.98 × 1,443
  4. Step 4: Simplify right side
    2,140.68x = 4,262,593.14
  5. Step 5: Solve for x
    x = 4,262,593.14/2,140.68
  6. Step 6: Final answer
    x = 1,991.23

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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.