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Finding the Fourth Proportional to 2,170.83, 3,256.83 and 783.75

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Solution

The fourth proportional to 2,170.83, 3,256.83 and 783.75 is: 1,175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.83 : 3,256.83 = 783.75 : x
  2. Step 2: Convert to fraction form
    2,170.83/3,256.83 = 783.75/x
  3. Step 3: Cross multiply
    2,170.83x = 3,256.83 × 783.75
  4. Step 4: Simplify right side
    2,170.83x = 2,552,540.51
  5. Step 5: Solve for x
    x = 2,552,540.51/2,170.83
  6. Step 6: Final answer
    x = 1,175.84

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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.