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Finding the Fourth Proportional to 1,429.59, 1,980.28 and 1,400.43

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Solution

The fourth proportional to 1,429.59, 1,980.28 and 1,400.43 is: 1,939.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.59 : 1,980.28 = 1,400.43 : x
  2. Step 2: Convert to fraction form
    1,429.59/1,980.28 = 1,400.43/x
  3. Step 3: Cross multiply
    1,429.59x = 1,980.28 × 1,400.43
  4. Step 4: Simplify right side
    1,429.59x = 2,773,240.02
  5. Step 5: Solve for x
    x = 2,773,240.02/1,429.59
  6. Step 6: Final answer
    x = 1,939.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.