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Finding the Fourth Proportional to 2,011.43, 3,017.73 and 840.83

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Solution

The fourth proportional to 2,011.43, 3,017.73 and 840.83 is: 1,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.43 : 3,017.73 = 840.83 : x
  2. Step 2: Convert to fraction form
    2,011.43/3,017.73 = 840.83/x
  3. Step 3: Cross multiply
    2,011.43x = 3,017.73 × 840.83
  4. Step 4: Simplify right side
    2,011.43x = 2,537,400.59
  5. Step 5: Solve for x
    x = 2,537,400.59/2,011.43
  6. Step 6: Final answer
    x = 1,261.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.