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Finding the Fourth Proportional to 2,783.43, 3,840.86 and 1,664.15

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Solution

The fourth proportional to 2,783.43, 3,840.86 and 1,664.15 is: 2,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.43 : 3,840.86 = 1,664.15 : x
  2. Step 2: Convert to fraction form
    2,783.43/3,840.86 = 1,664.15/x
  3. Step 3: Cross multiply
    2,783.43x = 3,840.86 × 1,664.15
  4. Step 4: Simplify right side
    2,783.43x = 6,391,739.64
  5. Step 5: Solve for x
    x = 6,391,739.64/2,783.43
  6. Step 6: Final answer
    x = 2,296.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.