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Finding the Fourth Proportional to 1,766.22, 2,664.86 and 1,751.64

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Solution

The fourth proportional to 1,766.22, 2,664.86 and 1,751.64 is: 2,642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.22 : 2,664.86 = 1,751.64 : x
  2. Step 2: Convert to fraction form
    1,766.22/2,664.86 = 1,751.64/x
  3. Step 3: Cross multiply
    1,766.22x = 2,664.86 × 1,751.64
  4. Step 4: Simplify right side
    1,766.22x = 4,667,875.37
  5. Step 5: Solve for x
    x = 4,667,875.37/1,766.22
  6. Step 6: Final answer
    x = 2,642.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.