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Finding the Fourth Proportional to 3,149.02, 4,723.59 and 840.50

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Solution

The fourth proportional to 3,149.02, 4,723.59 and 840.50 is: 1,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.02 : 4,723.59 = 840.50 : x
  2. Step 2: Convert to fraction form
    3,149.02/4,723.59 = 840.50/x
  3. Step 3: Cross multiply
    3,149.02x = 4,723.59 × 840.50
  4. Step 4: Simplify right side
    3,149.02x = 3,970,177.40
  5. Step 5: Solve for x
    x = 3,970,177.40/3,149.02
  6. Step 6: Final answer
    x = 1,260.77

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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.