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Finding the Fourth Proportional to 2,068.50, 3,102.74 and 835.89

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Solution

The fourth proportional to 2,068.50, 3,102.74 and 835.89 is: 1,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.50 : 3,102.74 = 835.89 : x
  2. Step 2: Convert to fraction form
    2,068.50/3,102.74 = 835.89/x
  3. Step 3: Cross multiply
    2,068.50x = 3,102.74 × 835.89
  4. Step 4: Simplify right side
    2,068.50x = 2,593,555.01
  5. Step 5: Solve for x
    x = 2,593,555.01/2,068.50
  6. Step 6: Final answer
    x = 1,253.84

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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.