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Finding the Fourth Proportional to 2,840.82, 4,259.79 and 1,300.50

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Solution

The fourth proportional to 2,840.82, 4,259.79 and 1,300.50 is: 1,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.82 : 4,259.79 = 1,300.50 : x
  2. Step 2: Convert to fraction form
    2,840.82/4,259.79 = 1,300.50/x
  3. Step 3: Cross multiply
    2,840.82x = 4,259.79 × 1,300.50
  4. Step 4: Simplify right side
    2,840.82x = 5,539,856.90
  5. Step 5: Solve for x
    x = 5,539,856.90/2,840.82
  6. Step 6: Final answer
    x = 1,950.09

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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.