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Finding the Fourth Proportional to 2,840.99, 4,262.10 and 866.79

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Solution

The fourth proportional to 2,840.99, 4,262.10 and 866.79 is: 1,300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.99 : 4,262.10 = 866.79 : x
  2. Step 2: Convert to fraction form
    2,840.99/4,262.10 = 866.79/x
  3. Step 3: Cross multiply
    2,840.99x = 4,262.10 × 866.79
  4. Step 4: Simplify right side
    2,840.99x = 3,694,345.66
  5. Step 5: Solve for x
    x = 3,694,345.66/2,840.99
  6. Step 6: Final answer
    x = 1,300.37

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1.5x scale

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.